321414231431304 has 512 divisors, whose sum is σ = 1002834328320000. Its totient is φ = 94556106777600.

The previous prime is 321414231431299. The next prime is 321414231431333. The reversal of 321414231431304 is 403134132414123.

321414231431304 is a `hidden beast` number, since 3 + 2 + 1 + 4 + 1 + 4 + 2 + 314 + 31 + 304 = 666.

It is a super-2 number, since 2×321414231431304² (a number of 30 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5724281022 + ... + 5724337170.

It is an arithmetic number, because the mean of its divisors is an integer number (1958660797500).

Almost surely, 2^{321414231431304} 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 321414231431304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (501417164160000).

321414231431304 is an abundant number, since it is smaller than the sum of its proper divisors (681420096888696).

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

321414231431304 is a wasteful number, since it uses less digits than its factorization.

321414231431304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56706 (or 56696 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

Adding to 321414231431304 its reverse (403134132414123), we get a palindrome (724548363845427).

The spelling of 321414231431304 in words is "three hundred twenty-one trillion, four hundred fourteen billion, two hundred thirty-one million, four hundred thirty-one thousand, three hundred four".