320919398400 has 576 divisors, whose sum is σ = 1097901604800. Its totient is φ = 82640896000.

The previous prime is 320919398399. The next prime is 320919398411. The reversal of 320919398400 is 4893919023.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 320919398400.

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 47 ways as a sum of consecutive naturals, for example, 824985406 + ... + 824985794.

It is an arithmetic number, because the mean of its divisors is an integer number (1906079175).

Almost surely, 2^320919398400 is an apocalyptic number.

320919398400 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 320919398400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548950802400).

320919398400 is an abundant number, since it is smaller than the sum of its proper divisors (776982206400).

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

320919398400 is a wasteful number, since it uses less digits than its factorization.

320919398400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 596 (or 571 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 48.

The spelling of 320919398400 in words is "three hundred twenty billion, nine hundred nineteen million, three hundred ninety-eight thousand, four hundred".