321319045407360 has 4096 divisors, whose sum is σ = 1478484736081920. Its totient is φ = 57120679526400.

The previous prime is 321319045407307. The next prime is 321319045407383. The reversal of 321319045407360 is 63704540913123.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 875528733897 + ... + 875528734263.

It is an arithmetic number, because the mean of its divisors is an integer number (360958187520).

Almost surely, 2^{321319045407360} is an apocalyptic number.

321319045407360 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 321319045407360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (739242368040960).

321319045407360 is an abundant number, since it is smaller than the sum of its proper divisors (1157165690674560).

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

321319045407360 is a wasteful number, since it uses less digits than its factorization.

321319045407360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 775 (or 763 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 48.

The spelling of 321319045407360 in words is "three hundred twenty-one trillion, three hundred nineteen billion, forty-five million, four hundred seven thousand, three hundred sixty".