321440000000 has 576 divisors, whose sum is σ = 957363760080. Its totient is φ = 107520000000.

The previous prime is 321439999939. The next prime is 321440000027. The reversal of 321440000000 is 44123.

It can be written as a sum of positive squares in 8 ways, for example, as 321425499136 + 14500864 = 566944^2 + 3808^2 .

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a self number, because there is not a number n which added to its sum of digits gives 321440000000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7839999980 + ... + 7840000020.

Almost surely, 2^321440000000 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 321440000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478681880040).

321440000000 is an abundant number, since it is smaller than the sum of its proper divisors (635923760080).

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

321440000000 is an frugal number, since it uses more digits than its factorization.

321440000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

Adding to 321440000000 its reverse (44123), we get a palindrome (321440044123).

The spelling of 321440000000 in words is "three hundred twenty-one billion, four hundred forty million", and thus it is an aban number.