320001344000 has 640 divisors, whose sum is σ = 935160145920. Its totient is φ = 108158976000.

The previous prime is 320001343979. The next prime is 320001344011. The reversal of 320001344000 is 443100023.

It is a tau number, because it is divible by the number of its divisors (640).

It is a self number, because there is not a number n which added to its sum of digits gives 320001344000.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 490047674 + ... + 490048326.

It is an arithmetic number, because the mean of its divisors is an integer number (1461187728).

Almost surely, 2^320001344000 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 320001344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467580072960).

320001344000 is an abundant number, since it is smaller than the sum of its proper divisors (615158801920).

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

320001344000 is a wasteful number, since it uses less digits than its factorization.

320001344000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 749 (or 723 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

Adding to 320001344000 its reverse (443100023), we get a palindrome (320444444023).

The spelling of 320001344000 in words is "three hundred twenty billion, one million, three hundred forty-four thousand".