331542304000 has 72 divisors (see below), whose sum is σ = 825913401768. Its totient is φ = 132616908800.

The previous prime is 331542303997. The next prime is 331542304001. The reversal of 331542304000 is 403245133.

It can be written as a sum of positive squares in 4 ways, for example, as 4010435584 + 327531868416 = 63328^2 + 572304^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331542304001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5148349 + ... + 5212348.

It is an arithmetic number, because the mean of its divisors is an integer number (11471019469).

Almost surely, 2^331542304000 is an apocalyptic number.

It is an amenable number.

331542304000 is an abundant number, since it is smaller than the sum of its proper divisors (494371097768).

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

331542304000 is an equidigital number, since it uses as much as digits as its factorization.

331542304000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10360728 (or 10360704 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 25.

Adding to 331542304000 its reverse (403245133), we get a palindrome (331945549133).

The spelling of 331542304000 in words is "three hundred thirty-one billion, five hundred forty-two million, three hundred four thousand".