321140638720 has 176 divisors, whose sum is σ = 884628244800. Its totient is φ = 110631813120.

The previous prime is 321140638711. The next prime is 321140638729. The reversal of 321140638720 is 27836041123.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (321140638711) and next prime (321140638729).

It is a tau number, because it is divible by the number of its divisors (176).

It is a self number, because there is not a number n which added to its sum of digits gives 321140638720.

It is not an unprimeable number, because it can be changed into a prime (321140638729) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 920026 + ... + 1220134.

Almost surely, 2^321140638720 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 321140638720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442314122400).

321140638720 is an abundant number, since it is smaller than the sum of its proper divisors (563487606080).

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

321140638720 is a wasteful number, since it uses less digits than its factorization.

321140638720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300164 (or 300146 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 37.

Adding to 321140638720 its reverse (27836041123), we get a palindrome (348976679843).

The spelling of 321140638720 in words is "three hundred twenty-one billion, one hundred forty million, six hundred thirty-eight thousand, seven hundred twenty".