331404871311360 has 4032 divisors, whose sum is σ = 1535894466822144. Its totient is φ = 65236185907200.

The previous prime is 331404871311341. The next prime is 331404871311361. The reversal of 331404871311360 is 63113178404133.

331404871311360 is a `hidden beast` number, since 3 + 3 + 1 + 4 + 0 + 487 + 1 + 31 + 136 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (331404871311361) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 580393819875 + ... + 580393820445.

Almost surely, 2^{331404871311360} is an apocalyptic number.

331404871311360 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 331404871311360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (767947233411072).

331404871311360 is an abundant number, since it is smaller than the sum of its proper divisors (1204489595510784).

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

331404871311360 is a wasteful number, since it uses less digits than its factorization.

331404871311360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 783 (or 749 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 331404871311360 in words is "three hundred thirty-one trillion, four hundred four billion, eight hundred seventy-one million, three hundred eleven thousand, three hundred sixty".