323431125333120 has 4608 divisors, whose sum is σ = 1457141629132800. Its totient is φ = 65688781455360.

The previous prime is 323431125333067. The next prime is 323431125333143. The reversal of 323431125333120 is 21333521134323.

323431125333120 is a `hidden beast` number, since 3 + 2 + 3 + 4 + 3 + 112 + 533 + 3 + 1 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 441243008274 + ... + 441243009006.

It is an arithmetic number, because the mean of its divisors is an integer number (316219971600).

Almost surely, 2^{323431125333120} is an apocalyptic number.

323431125333120 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 323431125333120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (728570814566400).

323431125333120 is an abundant number, since it is smaller than the sum of its proper divisors (1133710503799680).

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

323431125333120 is a wasteful number, since it uses less digits than its factorization.

323431125333120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 916 (or 894 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 36.

Adding to 323431125333120 its reverse (21333521134323), we get a palindrome (344764646467443).

The spelling of 323431125333120 in words is "three hundred twenty-three trillion, four hundred thirty-one billion, one hundred twenty-five million, three hundred thirty-three thousand, one hundred twenty".