331073742960 has 400 divisors, whose sum is σ = 1249446696960. Its totient is φ = 80940695040.

The previous prime is 331073742947. The next prime is 331073743027. The reversal of 331073742960 is 69247370133.

It is a happy number.

331073742960 is a `hidden beast` number, since 33 + 107 + 37 + 429 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3773349 + ... + 3860091.

Almost surely, 2^331073742960 is an apocalyptic number.

331073742960 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 331073742960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624723348480).

331073742960 is an abundant number, since it is smaller than the sum of its proper divisors (918372954000).

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

331073742960 is a wasteful number, since it uses less digits than its factorization.

331073742960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86818 (or 86803 counting only the distinct ones).

The product of its (nonzero) digits is 571536, while the sum is 45.

The spelling of 331073742960 in words is "three hundred thirty-one billion, seventy-three million, seven hundred forty-two thousand, nine hundred sixty".