313257840480 has 384 divisors, whose sum is σ = 1195704115200. Its totient is φ = 76132472832.

The previous prime is 313257840449. The next prime is 313257840503. The reversal of 313257840480 is 84048752313.

313257840480 is a `hidden beast` number, since 3 + 1 + 32 + 578 + 4 + 0 + 48 + 0 = 666.

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 63 ways as a sum of consecutive naturals, for example, 4401337 + ... + 4471943.

It is an arithmetic number, because the mean of its divisors is an integer number (3113812800).

Almost surely, 2^313257840480 is an apocalyptic number.

313257840480 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 313257840480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (597852057600).

313257840480 is an abundant number, since it is smaller than the sum of its proper divisors (882446274720).

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

313257840480 is a wasteful number, since it uses less digits than its factorization.

313257840480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70723 (or 70709 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 313257840480 in words is "three hundred thirteen billion, two hundred fifty-seven million, eight hundred forty thousand, four hundred eighty".