322121324040 has 128 divisors (see below), whose sum is σ = 977599497600. Its totient is φ = 84903219200.

The previous prime is 322121324033. The next prime is 322121324053. The reversal of 322121324040 is 40423121223.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 322121324040.

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, 7164751 + ... + 7209569.

It is an arithmetic number, because the mean of its divisors is an integer number (7637496075).

Almost surely, 2^322121324040 is an apocalyptic number.

322121324040 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 322121324040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488799748800).

322121324040 is an abundant number, since it is smaller than the sum of its proper divisors (655478173560).

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

322121324040 is a wasteful number, since it uses less digits than its factorization.

322121324040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45527 (or 45523 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 322121324040 its reverse (40423121223), we get a palindrome (362544445263).

The spelling of 322121324040 in words is "three hundred twenty-two billion, one hundred twenty-one million, three hundred twenty-four thousand, forty".