321120944594944 has 672 divisors, whose sum is σ = 739315885303296. Its totient is φ = 138493600727040.

The previous prime is 321120944594939. The next prime is 321120944594971. The reversal of 321120944594944 is 449495449021123.

It is a happy number.

It is a super-2 number, since 2×321120944594944² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1025945509732 + ... + 1025945510044.

It is an arithmetic number, because the mean of its divisors is an integer number (1100172448368).

Almost surely, 2^{321120944594944} 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 321120944594944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369657942651648).

321120944594944 is an abundant number, since it is smaller than the sum of its proper divisors (418194940708352).

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

321120944594944 is a wasteful number, since it uses less digits than its factorization.

321120944594944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 684 (or 623 counting only the distinct ones).

The product of its (nonzero) digits is 44789760, while the sum is 61.

The spelling of 321120944594944 in words is "three hundred twenty-one trillion, one hundred twenty billion, nine hundred forty-four million, five hundred ninety-four thousand, nine hundred forty-four".