polydactyly

n. state of having many fingers or toes

Polydactyly or polydactylism (from the Greek poly = "many" + daktylos = "finger"), also known as hyperdactyly, is a congenital physical anomaly consisting of supernumerary fingers or toes. When each hand or foot has six digits, it is sometimes called "sexdactyly", "hexadactyly", or "hexadactylism". Although the condition is usually not life-threatening or even particularly debilitating, most people in Western societies have the extra digits removed surgically.
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Polydactyly /poly·dac·ty·ly/ the presence of supernumerary digits on the hands or feet. pol·y·dac·ty·ly or pol·y·dac·tyl·ism n. [more]Polydactyly - Community and Resources

Noun
1. birth defect characterized by the presence of more than the normal number of fingers or toes
(synonym) hyperdactyly
(hypernym) birth defect, congenital anomaly, congenital defect, congenital disorder, congenital abnormality
(classification) homo, man, human being, human

More than the normal number of fingers or toes.