322432000000 has 392 divisors, whose sum is σ = 883134789480. Its totient is φ = 116736000000.

The previous prime is 322431999979. The next prime is 322432000021. The reversal of 322432000000 is 234223.

It is an interprime number because it is at equal distance from previous prime (322431999979) and next prime (322432000021).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1407999886 + ... + 1408000114.

Almost surely, 2^322432000000 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 322432000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441567394740).

322432000000 is an abundant number, since it is smaller than the sum of its proper divisors (560702789480).

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

322432000000 is an frugal number, since it uses more digits than its factorization.

322432000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 16.

Adding to 322432000000 its reverse (234223), we get a palindrome (322432234223).

The spelling of 322432000000 in words is "three hundred twenty-two billion, four hundred thirty-two million", and thus it is an aban number.