321242880000 has 1920 divisors, whose sum is σ = 1400041843200. Its totient is φ = 63700992000.

The previous prime is 321242879999. The next prime is 321242880029. The reversal of 321242880000 is 88242123.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 321242880000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 8682239982 + ... + 8682240018.

It is an arithmetic number, because the mean of its divisors is an integer number (729188460).

Almost surely, 2^321242880000 is an apocalyptic number.

321242880000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 321242880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (700020921600).

321242880000 is an abundant number, since it is smaller than the sum of its proper divisors (1078798963200).

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

321242880000 is a wasteful number, since it uses less digits than its factorization.

321242880000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The spelling of 321242880000 in words is "three hundred twenty-one billion, two hundred forty-two million, eight hundred eighty thousand".