331406944992000 has 2304 divisors, whose sum is σ = 1313032719398400. Its totient is φ = 82027767398400.

The previous prime is 331406944991959. The next prime is 331406944992029. The reversal of 331406944992000 is 299449604133.

331406944992000 is a `hidden beast` number, since 3 + 3 + 1 + 40 + 6 + 94 + 499 + 20 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 507514463674 + ... + 507514464326.

It is an arithmetic number, because the mean of its divisors is an integer number (569892673350).

Almost surely, 2^{331406944992000} is an apocalyptic number.

331406944992000 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 331406944992000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (656516359699200).

331406944992000 is an abundant number, since it is smaller than the sum of its proper divisors (981625774406400).

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

331406944992000 is a wasteful number, since it uses less digits than its factorization.

331406944992000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1136 (or 1106 counting only the distinct ones).

The product of its (nonzero) digits is 5038848, while the sum is 54.

The spelling of 331406944992000 in words is "three hundred thirty-one trillion, four hundred six billion, nine hundred forty-four million, nine hundred ninety-two thousand".