313223424313440 has 96 divisors (see below), whose sum is σ = 987205300633440. Its totient is φ = 83479557464064.

The previous prime is 313223424313427. The next prime is 313223424313441. The reversal of 313223424313440 is 44313424322313.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×313223424313440² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313223424313441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 181519369 + ... + 183236808.

It is an arithmetic number, because the mean of its divisors is an integer number (10283388548265).

Almost surely, 2^{313223424313440} is an apocalyptic number.

313223424313440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

313223424313440 is an abundant number, since it is smaller than the sum of its proper divisors (673981876320000).

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

313223424313440 is a wasteful number, since it uses less digits than its factorization.

313223424313440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364757984 (or 364757976 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 39.

Adding to 313223424313440 its reverse (44313424322313), we get a palindrome (357536848635753).

The spelling of 313223424313440 in words is "three hundred thirteen trillion, two hundred twenty-three billion, four hundred twenty-four million, three hundred thirteen thousand, four hundred forty".