322431013405440 has 864 divisors, whose sum is σ = 1237010906791296. Its totient is φ = 77125692948480.

The previous prime is 322431013405367. The next prime is 322431013405453. The reversal of 322431013405440 is 44504310134223.

322431013405440 is a `hidden beast` number, since 3 + 2 + 2 + 4 + 3 + 101 + 3 + 4 + 0 + 544 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 322431013405395 and 322431013405404.

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 95 ways as a sum of consecutive naturals, for example, 1247567430 + ... + 1247825850.

It is an arithmetic number, because the mean of its divisors is an integer number (1431725586564).

Almost surely, 2^{322431013405440} is an apocalyptic number.

322431013405440 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 322431013405440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (618505453395648).

322431013405440 is an abundant number, since it is smaller than the sum of its proper divisors (914579893385856).

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

322431013405440 is a wasteful number, since it uses less digits than its factorization.

322431013405440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258765 (or 258748 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

Adding to 322431013405440 its reverse (44504310134223), we get a palindrome (366935323539663).

The spelling of 322431013405440 in words is "three hundred twenty-two trillion, four hundred thirty-one billion, thirteen million, four hundred five thousand, four hundred forty".