314808791040 has 156 divisors (see below), whose sum is σ = 1091204561304. Its totient is φ = 83948961792.

The previous prime is 314808790993. The next prime is 314808791053. The reversal of 314808791040 is 40197808413.

It is a happy number.

314808791040 is a `hidden beast` number, since 3 + 1 + 480 + 87 + 91 + 0 + 4 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 669654 + ... + 1038293.

It is an arithmetic number, because the mean of its divisors is an integer number (6994901034).

Almost surely, 2^314808791040 is an apocalyptic number.

314808791040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

314808791040 is an abundant number, since it is smaller than the sum of its proper divisors (776395770264).

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

314808791040 is a wasteful number, since it uses less digits than its factorization.

314808791040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1707982 (or 1707957 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 314808791040 in words is "three hundred fourteen billion, eight hundred eight million, seven hundred ninety-one thousand, forty".