331230049920 has 768 divisors, whose sum is σ = 1472071311360. Its totient is φ = 66604032000.

The previous prime is 331230049897. The next prime is 331230049939. The reversal of 331230049920 is 29940032133.

331230049920 is a `hidden beast` number, since 331 + 230 + 0 + 4 + 9 + 92 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13737075 + ... + 13761165.

It is an arithmetic number, because the mean of its divisors is an integer number (1916759520).

Almost surely, 2^331230049920 is an apocalyptic number.

331230049920 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 331230049920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (736035655680).

331230049920 is an abundant number, since it is smaller than the sum of its proper divisors (1140841261440).

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

331230049920 is a wasteful number, since it uses less digits than its factorization.

331230049920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24165 (or 24150 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The spelling of 331230049920 in words is "three hundred thirty-one billion, two hundred thirty million, forty-nine thousand, nine hundred twenty".