314800256640 has 512 divisors, whose sum is σ = 1129166438400. Its totient is φ = 74207232000.

The previous prime is 314800256629. The next prime is 314800256651. The reversal of 314800256640 is 46652008413.

It is an interprime number because it is at equal distance from previous prime (314800256629) and next prime (314800256651).

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 63 ways as a sum of consecutive naturals, for example, 34396065 + ... + 34405215.

It is an arithmetic number, because the mean of its divisors is an integer number (2205403200).

Almost surely, 2^314800256640 is an apocalyptic number.

314800256640 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 314800256640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (564583219200).

314800256640 is an abundant number, since it is smaller than the sum of its proper divisors (814366181760).

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

314800256640 is a wasteful number, since it uses less digits than its factorization.

314800256640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9256 (or 9244 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

The spelling of 314800256640 in words is "three hundred fourteen billion, eight hundred million, two hundred fifty-six thousand, six hundred forty".