313025064719040 has 560 divisors, whose sum is σ = 1179099017870400. Its totient is φ = 78555513028608.

The previous prime is 313025064719033. The next prime is 313025064719093. The reversal of 313025064719040 is 40917460520313.

313025064719040 is a `hidden beast` number, since 3 + 1 + 3 + 0 + 2 + 50 + 6 + 471 + 90 + 40 = 666.

It is a super-2 number, since 2×313025064719040² (a number of 30 digits) contains 22 as substring.

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

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 79 ways as a sum of consecutive naturals, for example, 5538375901 + ... + 5538432419.

Almost surely, 2^{313025064719040} is an apocalyptic number.

313025064719040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313025064719040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (589549508935200).

313025064719040 is an abundant number, since it is smaller than the sum of its proper divisors (866073953151360).

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

313025064719040 is a wasteful number, since it uses less digits than its factorization.

313025064719040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69134 (or 69115 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 313025064719040 in words is "three hundred thirteen trillion, twenty-five billion, sixty-four million, seven hundred nineteen thousand, forty".