313791539040 has 1296 divisors, whose sum is σ = 1338662287872. Its totient is φ = 66718826496.

The previous prime is 313791539027. The next prime is 313791539053. The reversal of 313791539040 is 40935197313.

313791539040 is a `hidden beast` number, since 3 + 1 + 3 + 79 + 1 + 539 + 0 + 40 = 666.

313791539040 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (313791539027) and next prime (313791539053).

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 polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 2470799457 + ... + 2470799583.

It is an arithmetic number, because the mean of its divisors is an integer number (1032918432).

Almost surely, 2^313791539040 is an apocalyptic number.

313791539040 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 313791539040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (669331143936).

313791539040 is an abundant number, since it is smaller than the sum of its proper divisors (1024870748832).

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

313791539040 is a wasteful number, since it uses less digits than its factorization.

313791539040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 306180, while the sum is 45.

The spelling of 313791539040 in words is "three hundred thirteen billion, seven hundred ninety-one million, five hundred thirty-nine thousand, forty".