331404241243120 has 80 divisors (see below), whose sum is σ = 811099718929440. Its totient is φ = 125579896307712.

The previous prime is 331404241243087. The next prime is 331404241243217. The reversal of 331404241243120 is 21342142404133.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×331404241243120² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35113512 + ... + 43540408.

It is an arithmetic number, because the mean of its divisors is an integer number (10138746486618).

Almost surely, 2^{331404241243120} is an apocalyptic number.

It is an amenable number.

331404241243120 is an abundant number, since it is smaller than the sum of its proper divisors (479695477686320).

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

331404241243120 is a wasteful number, since it uses less digits than its factorization.

331404241243120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8452802 (or 8452796 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 34.

Adding to 331404241243120 its reverse (21342142404133), we get a palindrome (352746383647253).

The spelling of 331404241243120 in words is "three hundred thirty-one trillion, four hundred four billion, two hundred forty-one million, two hundred forty-three thousand, one hundred twenty".