320413322224000 has 128 divisors (see below), whose sum is σ = 797227997454720. Its totient is φ = 128068737638400.

The previous prime is 320413322223983. The next prime is 320413322224067. The reversal of 320413322224000 is 422223314023.

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

It is a self number, because there is not a number n which added to its sum of digits gives 320413322224000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13686472 + ... + 28777528.

It is an arithmetic number, because the mean of its divisors is an integer number (6228343730115).

Almost surely, 2^{320413322224000} 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 320413322224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398613998727360).

320413322224000 is an abundant number, since it is smaller than the sum of its proper divisors (476814675230720).

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

320413322224000 is a wasteful number, since it uses less digits than its factorization.

320413322224000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15092413 (or 15092391 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 320413322224000 its reverse (422223314023), we get a palindrome (320835545538023).

The spelling of 320413322224000 in words is "three hundred twenty trillion, four hundred thirteen billion, three hundred twenty-two million, two hundred twenty-four thousand".