322032402432 has 896 divisors, whose sum is σ = 1119143292120. Its totient is φ = 91729428480.

The previous prime is 322032402323. The next prime is 322032402463. The reversal of 322032402432 is 234204230223.

It is a happy number.

322032402432 is a `hidden beast` number, since 3 + 2 + 203 + 24 + 0 + 2 + 432 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 174871166976 + 147161235456 = 418176^2 + 383616^2 .

It is a super-2 number, since 2×322032402432² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 322032402396 and 322032402405.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 5279219682 + ... + 5279219742.

Almost surely, 2^322032402432 is an apocalyptic number.

322032402432 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 322032402432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (559571646060).

322032402432 is an abundant number, since it is smaller than the sum of its proper divisors (797110889688).

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

322032402432 is an frugal number, since it uses more digits than its factorization.

322032402432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 27.

Adding to 322032402432 its reverse (234204230223), we get a palindrome (556236632655).

The spelling of 322032402432 in words is "three hundred twenty-two billion, thirty-two million, four hundred two thousand, four hundred thirty-two".