313412415330400 has 72 divisors (see below), whose sum is σ = 810125003603160. Its totient is φ = 117990556354560.

The previous prime is 313412415330397. The next prime is 313412415330439. The reversal of 313412415330400 is 4033514214313.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11522501670 + ... + 11522528869.

It is an arithmetic number, because the mean of its divisors is an integer number (11251736161155).

Almost surely, 2^{313412415330400} is an apocalyptic number.

It is an amenable number.

313412415330400 is an abundant number, since it is smaller than the sum of its proper divisors (496712588272760).

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

313412415330400 is a wasteful number, since it uses less digits than its factorization.

313412415330400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23045030576 (or 23045030563 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 34.

Adding to 313412415330400 its reverse (4033514214313), we get a palindrome (317445929544713).

The spelling of 313412415330400 in words is "three hundred thirteen trillion, four hundred twelve billion, four hundred fifteen million, three hundred thirty thousand, four hundred".