321140880624960 has 672 divisors, whose sum is σ = 1270683974776320. Its totient is φ = 73623762432000.

The previous prime is 321140880624953. The next prime is 321140880625001. The reversal of 321140880624960 is 69426088041123.

321140880624960 is a `hidden beast` number, since 3 + 2 + 1 + 1 + 4 + 0 + 8 + 8 + 0 + 624 + 9 + 6 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 321140880624897 and 321140880624906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 338407135 + ... + 339354785.

Almost surely, 2^{321140880624960} is an apocalyptic number.

321140880624960 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 321140880624960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (635341987388160).

321140880624960 is an abundant number, since it is smaller than the sum of its proper divisors (949543094151360).

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

321140880624960 is a wasteful number, since it uses less digits than its factorization.

321140880624960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 948267 (or 948254 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 321140880624960 in words is "three hundred twenty-one trillion, one hundred forty billion, eight hundred eighty million, six hundred twenty-four thousand, nine hundred sixty".