40456766765404 has 24 divisors (see below), whose sum is σ = 77270546708208. Its totient is φ = 18381129661440.

The previous prime is 40456766765369. The next prime is 40456766765453.

It is a happy number.

40456766765404 is nontrivially palindromic in base 10.

40456766765404 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 2×40456766765404² (a number of 28 digits) contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 207645957 + ... + 207840700.

It is an arithmetic number, because the mean of its divisors is an integer number (3219606112842).

Almost surely, 2^{40456766765404} is an apocalyptic number.

40456766765404 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

40456766765404 is a deficient number, since it is larger than the sum of its proper divisors (36813779942804).

40456766765404 is a wasteful number, since it uses less digits than its factorization.

40456766765404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415488885 (or 415488883 counting only the distinct ones).

The product of its (nonzero) digits is 406425600, while the sum is 64.

The spelling of 40456766765404 in words is "forty trillion, four hundred fifty-six billion, seven hundred sixty-six million, seven hundred sixty-five thousand, four hundred four".