40460646264600 has 48 divisors (see below), whose sum is σ = 125428003422120. Its totient is φ = 10789505670400.

The previous prime is 40460646264593. The next prime is 40460646264617. The reversal of 40460646264600 is 646264606404.

40460646264600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×40460646264600² (a number of 28 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 40460646264600.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33717204621 + ... + 33717205820.

Almost surely, 2^{40460646264600} is an apocalyptic number.

40460646264600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40460646264600 is an abundant number, since it is smaller than the sum of its proper divisors (84967357157520).

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

40460646264600 is a wasteful number, since it uses less digits than its factorization.

40460646264600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67434410460 (or 67434410451 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 48.

The spelling of 40460646264600 in words is "forty trillion, four hundred sixty billion, six hundred forty-six million, two hundred sixty-four thousand, six hundred".