331420400304000 has 256 divisors, whose sum is σ = 1255609860710400. Its totient is φ = 75753234278400.

The previous prime is 331420400303983. The next prime is 331420400304001. The reversal of 331420400304000 is 403004024133.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331420400304001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 492849120 + ... + 493521119.

It is an arithmetic number, because the mean of its divisors is an integer number (4904726018400).

Almost surely, 2^{331420400304000} is an apocalyptic number.

331420400304000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

331420400304000 is an abundant number, since it is smaller than the sum of its proper divisors (924189460406400).

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

331420400304000 is an equidigital number, since it uses as much as digits as its factorization.

331420400304000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 986370278 (or 986370256 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 331420400304000 its reverse (403004024133), we get a palindrome (331823404328133).

The spelling of 331420400304000 in words is "three hundred thirty-one trillion, four hundred twenty billion, four hundred million, three hundred four thousand".