314656502040 has 128 divisors (see below), whose sum is σ = 1094457484800. Its totient is φ = 80260202880.

The previous prime is 314656502029. The next prime is 314656502113. The reversal of 314656502040 is 40205656413.

314656502040 is a `hidden beast` number, since 3 + 146 + 5 + 6 + 502 + 0 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 314656501986 and 314656502004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6308826 + ... + 6358505.

It is an arithmetic number, because the mean of its divisors is an integer number (8550449100).

Almost surely, 2^314656502040 is an apocalyptic number.

314656502040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

314656502040 is an abundant number, since it is smaller than the sum of its proper divisors (779800982760).

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

314656502040 is a wasteful number, since it uses less digits than its factorization.

314656502040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12667374 (or 12667364 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 314656502040 in words is "three hundred fourteen billion, six hundred fifty-six million, five hundred two thousand, forty".