316125617040 has 120 divisors (see below), whose sum is σ = 1061760580920. Its totient is φ = 84291796992.

The previous prime is 316125617039. The next prime is 316125617053. The reversal of 316125617040 is 40716521613.

316125617040 is a `hidden beast` number, since 3 + 16 + 1 + 25 + 617 + 0 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2776446864 + 313349170176 = 52692^2 + 559776^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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 = 316125616986 and 316125617004.

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 23 ways as a sum of consecutive naturals, for example, 11368594 + ... + 11396366.

It is an arithmetic number, because the mean of its divisors is an integer number (8848004841).

Almost surely, 2^316125617040 is an apocalyptic number.

316125617040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

316125617040 is an abundant number, since it is smaller than the sum of its proper divisors (745634963880).

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

316125617040 is a wasteful number, since it uses less digits than its factorization.

316125617040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43601 (or 43592 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 316125617040 in words is "three hundred sixteen billion, one hundred twenty-five million, six hundred seventeen thousand, forty".