313024393920 has 448 divisors, whose sum is σ = 1171315676160. Its totient is φ = 69346148352.

The previous prime is 313024393907. The next prime is 313024393937. The reversal of 313024393920 is 29393420313.

It is a tau number, because it is divible by the number of its divisors (448).

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, 29555986 + ... + 29566574.

It is an arithmetic number, because the mean of its divisors is an integer number (2614543920).

Almost surely, 2^313024393920 is an apocalyptic number.

313024393920 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 313024393920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (585657838080).

313024393920 is an abundant number, since it is smaller than the sum of its proper divisors (858291282240).

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

313024393920 is a wasteful number, since it uses less digits than its factorization.

313024393920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10752 (or 10742 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 39.

The spelling of 313024393920 in words is "three hundred thirteen billion, twenty-four million, three hundred ninety-three thousand, nine hundred twenty".