331142404114400 has 36 divisors (see below), whose sum is σ = 808401394046232. Its totient is φ = 132456961645440.

The previous prime is 331142404114363. The next prime is 331142404114441. The reversal of 331142404114400 is 4411404241133.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 206964001772 + ... + 206964003371.

It is an arithmetic number, because the mean of its divisors is an integer number (22455594279062).

Almost surely, 2^{331142404114400} is an apocalyptic number.

It is an amenable number.

331142404114400 is an abundant number, since it is smaller than the sum of its proper divisors (477258989931832).

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

331142404114400 is a wasteful number, since it uses less digits than its factorization.

331142404114400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413928005163 (or 413928005150 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

Adding to 331142404114400 its reverse (4411404241133), we get a palindrome (335553808355533).

The spelling of 331142404114400 in words is "three hundred thirty-one trillion, one hundred forty-two billion, four hundred four million, one hundred fourteen thousand, four hundred".