40856596704 has 648 divisors, whose sum is σ = 151098305904. Its totient is φ = 10431590400.

The previous prime is 40856596679. The next prime is 40856596709. The reversal of 40856596704 is 40769565804.

40856596704 is a `hidden beast` number, since 4 + 0 + 8 + 565 + 9 + 6 + 70 + 4 = 666.

It is a super-2 number, since 2×40856596704² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40856596709) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 121236024 + ... + 121236360.

It is an arithmetic number, because the mean of its divisors is an integer number (233176398).

Almost surely, 2^40856596704 is an apocalyptic number.

40856596704 is a gapful number since it is divisible by the number (44) 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 40856596704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75549152952).

40856596704 is an abundant number, since it is smaller than the sum of its proper divisors (110241709200).

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

40856596704 is a wasteful number, since it uses less digits than its factorization.

40856596704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 40856596704 in words is "forty billion, eight hundred fifty-six million, five hundred ninety-six thousand, seven hundred four".