40204074656700 has 252 divisors, whose sum is σ = 137688873867160. Its totient is φ = 10156818510720.

The previous prime is 40204074656651. The next prime is 40204074656723. The reversal of 40204074656700 is 765647040204.

40204074656700 is a `hidden beast` number, since 4 + 0 + 2 + 0 + 40 + 7 + 46 + 567 + 0 + 0 = 666.

40204074656700 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 83 ways as a sum of consecutive naturals, for example, 13127959 + ... + 15898158.

Almost surely, 2^{40204074656700} is an apocalyptic number.

It is an amenable number.

40204074656700 is an abundant number, since it is smaller than the sum of its proper divisors (97484799210460).

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

40204074656700 is a wasteful number, since it uses less digits than its factorization.

40204074656700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29026168 (or 29026146 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 45.

The spelling of 40204074656700 in words is "forty trillion, two hundred four billion, seventy-four million, six hundred fifty-six thousand, seven hundred".