= Arequipa haynii (Otto ex Salm-Dyck) Krainz; Kakteen 25: C vb (1963)
= Arequipa haynii var. erectipetala (Rauh & Backeb.) Krainz; Kakteen 25: C Vb (1963)
= Borzicactus haynii (Otto ex Salm-Dyck) Kimnach; Cact. Succ. J. (Los Angeles) 32: 92 (1960)
= Borzicactus haynii var. atrispina (Rauh & Backeb.) Donald; Natl. Cact. Succ. J. 25: 111 (1970)
= Borzicactus haynii var. breviflora (Rauh & Backeb.) Donald; Natl. Cact. Succ. J. 25: 72 (1970)
= Borzicactus haynii var. perplexa (Backeb.) Donald; Natl. Cact. Succ. J. 25: 111 (1970)
= Borzicactus variabilis (Rauh & Backeb.) Donald; Natl. Cact. Succ. J. 25: 72, 111 (1970)
= Cereus haynii (Otto ex Salm-Dyck) Croucher; Garden (London, 1871-1927) 13: 290 (1878)
= Echinocactus haynii Otto ex Salm-Dyck; Cact. Hort. Dyck., ed. 2: 32 (1850)
= Echinopsis haynii (Otto ex Salm-Dyck) Molinari; Succulentopia 13: 19 (2015)
= Mammillaria digitalis C.Ehrenb.; Allg. Gartenzeitung [Otto & Dietrich] 16: 267 (1848)
= Mammillaria haynii (Otto ex Salm-Dyck) C.Ehrenb.; Bot. Zeitung (Berlin) 2: 833 (1844)
= Mammillaria haynii f. minima (Salm-Dyck) Schelle; Kakteen 319 (1926)
= Mammillaria haynii f. viridula (Ehrenb.) Schelle; Kakteen 319 (1926)
= Mammillaria haynii var. minima Salm-Dyck; Cact. Hort. Dyck. 10 (1850)
= Mammillaria haynii var. viridula (Ehrenb.) Salm-Dyck; Cact. Hort. Dyck. 10 (1850)
= Mammillaria viridula C.Ehrenb.; Allg. Gartenzeitung [Otto & Dietrich] 16: 267 (1848)
= Mammillaria viridula var. minima Salm-Dyck; Cact. Hort. Dyck. 10 (1850)
= Matucana cereoides Rauh & Backeb.; Descr. Cact. Nov. [Backeberg] 1: 19 (1956 publ. 1957)
= Matucana comocephala F.Ritter; Succulenta (Netherlands) 1958: 92 (1958)
= Matucana elongata Rauh & Backeb.; Descr. Cact. Nov. [Backeberg] 1: 19 (1956 publ. 1957)
= Matucana haynii var. elongata (Rauh & Backeb.) F.Ritter; Kakteen Südamerika 4: 1497 (1981)
= Matucana haynii var. erectipetala Rauh & Backeb.; Descr. Cact. Nov. [Backeberg] 1: 18 (1956 publ. 1957)
= Matucana haynii var. pectinifera F.Ritter & Y.Itô; Cactaceae [Itô] 361 (1981), without type
= Matucana herzogiana var. perplexa Backeb.; Natl. Cact. Succ. J. 11: 71 (1956)
= Matucana hystrix var. atrispina Rauh & Backeb.; Descr. Cact. Nov. [Backeberg] 1: 19 (1956 publ. 1957)
= Matucana supertexta F.Ritter; Kakteen Südamerika 4: 1504 (1981)
= Matucana variabilis Rauh & Backeb.; Descr. Cact. Nov. [Backeberg] 1: 19 (1956 publ. 1957)
= Matucana variabilis var. fuscata Rauh & Backeb.; Descr. Cact. Nov. [Backeberg] 1: 20 (1956 publ. 1957)