313421934720 has 512 divisors, whose sum is σ = 1063331297280. Its totient is φ = 78363557888.

The previous prime is 313421934703. The next prime is 313421934731. The reversal of 313421934720 is 27439124313.

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, 533938267 + ... + 533938853.

It is an arithmetic number, because the mean of its divisors is an integer number (2076818940).

Almost surely, 2^313421934720 is an apocalyptic number.

313421934720 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 313421934720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (531665648640).

313421934720 is an abundant number, since it is smaller than the sum of its proper divisors (749909362560).

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

313421934720 is a wasteful number, since it uses less digits than its factorization.

313421934720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 852 (or 840 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 39.

The spelling of 313421934720 in words is "three hundred thirteen billion, four hundred twenty-one million, nine hundred thirty-four thousand, seven hundred twenty".