331680404160 has 504 divisors, whose sum is σ = 1329596395920. Its totient is φ = 75670253568.

The previous prime is 331680404129. The next prime is 331680404173. The reversal of 331680404160 is 61404086133.

It is a happy number.

331680404160 is a `hidden beast` number, since 3 + 3 + 16 + 80 + 404 + 160 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-2 number, since 2×331680404160² (a number of 24 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 87351382 + ... + 87355178.

Almost surely, 2^331680404160 is an apocalyptic number.

331680404160 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 331680404160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (664798197960).

331680404160 is an abundant number, since it is smaller than the sum of its proper divisors (997915991760).

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

331680404160 is a wasteful number, since it uses less digits than its factorization.

331680404160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4453 (or 4433 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 331680404160 in words is "three hundred thirty-one billion, six hundred eighty million, four hundred four thousand, one hundred sixty".