41256313732480 has 512 divisors, whose sum is σ = 127244141568000. Its totient is φ = 12413686579200.

The previous prime is 41256313732463. The next prime is 41256313732531. The reversal of 41256313732480 is 8423731365214.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 624788106 + ... + 624854134.

It is an arithmetic number, because the mean of its divisors is an integer number (248523714000).

Almost surely, 2^{41256313732480} is an apocalyptic number.

41256313732480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41256313732480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63622070784000).

41256313732480 is an abundant number, since it is smaller than the sum of its proper divisors (85987827835520).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

41256313732480 is a wasteful number, since it uses less digits than its factorization.

41256313732480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66506 (or 66494 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 49.

The spelling of 41256313732480 in words is "forty-one trillion, two hundred fifty-six billion, three hundred thirteen million, seven hundred thirty-two thousand, four hundred eighty".