320431344000 has 128 divisors (see below), whose sum is σ = 1062230064480. Its totient is φ = 85448345600.

The previous prime is 320431343909. The next prime is 320431344007. The reversal of 320431344000 is 443134023.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320431344007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3289827 + ... + 3385826.

Almost surely, 2^320431344000 is an apocalyptic number.

320431344000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

320431344000 is an abundant number, since it is smaller than the sum of its proper divisors (741798720480).

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

320431344000 is an equidigital number, since it uses as much as digits as its factorization.

320431344000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6675685 (or 6675663 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 320431344000 its reverse (443134023), we get a palindrome (320874478023).

The spelling of 320431344000 in words is "three hundred twenty billion, four hundred thirty-one million, three hundred forty-four thousand".