40855686608256 has 256 divisors, whose sum is σ = 117839782368000. Its totient is φ = 12467135766528.

The previous prime is 40855686608237. The next prime is 40855686608357. The reversal of 40855686608256 is 65280668655804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 333239575 + ... + 333362153.

It is an arithmetic number, because the mean of its divisors is an integer number (460311649875).

Almost surely, 2^{40855686608256} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40855686608256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58919891184000).

40855686608256 is an abundant number, since it is smaller than the sum of its proper divisors (76984095759744).

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

40855686608256 is a wasteful number, since it uses less digits than its factorization.

40855686608256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123161 (or 123149 counting only the distinct ones).

The product of its (nonzero) digits is 663552000, while the sum is 69.

The spelling of 40855686608256 in words is "forty trillion, eight hundred fifty-five billion, six hundred eighty-six million, six hundred eight thousand, two hundred fifty-six".