322404220431232 has 128 divisors (see below), whose sum is σ = 658727277120000. Its totient is φ = 157134149652480.

The previous prime is 322404220431157. The next prime is 322404220431263. The reversal of 322404220431232 is 232134022404223.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 592807107 + ... + 593350717.

It is an arithmetic number, because the mean of its divisors is an integer number (5146306852500).

Almost surely, 2^{322404220431232} is an apocalyptic number.

322404220431232 is a gapful number since it is divisible by the number (32) 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 322404220431232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329363638560000).

322404220431232 is an abundant number, since it is smaller than the sum of its proper divisors (336323056688768).

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

322404220431232 is an equidigital number, since it uses as much as digits as its factorization.

322404220431232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 544452 (or 544440 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 34.

Adding to 322404220431232 its reverse (232134022404223), we get a palindrome (554538242835455).

The spelling of 322404220431232 in words is "three hundred twenty-two trillion, four hundred four billion, two hundred twenty million, four hundred thirty-one thousand, two hundred thirty-two".