331479240399360 has 1280 divisors, whose sum is σ = 1239061266432000. Its totient is φ = 83892773191680.

The previous prime is 331479240399343. The next prime is 331479240399371. The reversal of 331479240399360 is 63993042974133.

331479240399360 is a `hidden beast` number, since 3 + 3 + 1 + 479 + 2 + 40 + 3 + 99 + 36 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 27998916321 + ... + 27998928159.

It is an arithmetic number, because the mean of its divisors is an integer number (968016614400).

Almost surely, 2^{331479240399360} is an apocalyptic number.

331479240399360 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 331479240399360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (619530633216000).

331479240399360 is an abundant number, since it is smaller than the sum of its proper divisors (907582026032640).

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

331479240399360 is a wasteful number, since it uses less digits than its factorization.

331479240399360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12154 (or 12132 counting only the distinct ones).

The product of its (nonzero) digits is 79361856, while the sum is 63.

The spelling of 331479240399360 in words is "three hundred thirty-one trillion, four hundred seventy-nine billion, two hundred forty million, three hundred ninety-nine thousand, three hundred sixty".