331330241088 has 672 divisors, whose sum is σ = 1240224860160. Its totient is φ = 82005073920.

The previous prime is 331330241027. The next prime is 331330241089. The reversal of 331330241088 is 880142033133.

331330241088 is a `hidden beast` number, since 3 + 3 + 1 + 330 + 241 + 0 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (331330241089) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 386615956 + ... + 386616812.

Almost surely, 2^331330241088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 331330241088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (620112430080).

331330241088 is an abundant number, since it is smaller than the sum of its proper divisors (908894619072).

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

331330241088 is a wasteful number, since it uses less digits than its factorization.

331330241088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1295 (or 1282 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 331330241088 in words is "three hundred thirty-one billion, three hundred thirty million, two hundred forty-one thousand, eighty-eight".