320444214301000 has 128 divisors (see below), whose sum is σ = 762357287484000. Its totient is φ = 126039129216000.

The previous prime is 320444214300989. The next prime is 320444214301019. The reversal of 320444214301000 is 103412444023.

It can be written as a sum of positive squares in 16 ways, for example, as 17103402411876 + 303340811889124 = 4135626^2 + 17416682^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 320444214301000.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 205953966 + ... + 207504034.

Almost surely, 2^{320444214301000} 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 320444214301000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381178643742000).

320444214301000 is an abundant number, since it is smaller than the sum of its proper divisors (441913073183000).

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

320444214301000 is a wasteful number, since it uses less digits than its factorization.

320444214301000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1553540 (or 1553526 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 320444214301000 its reverse (103412444023), we get a palindrome (320547626745023).

The spelling of 320444214301000 in words is "three hundred twenty trillion, four hundred forty-four billion, two hundred fourteen million, three hundred one thousand".