321023142114440 has 64 divisors (see below), whose sum is σ = 725418736202160. Its totient is φ = 127855358484480.

The previous prime is 321023142114397. The next prime is 321023142114449. The reversal of 321023142114440 is 44411241320123.

It can be written as a sum of positive squares in 8 ways, for example, as 301776864219076 + 19246277895364 = 17371726^2 + 4387058^2 .

It is a junction number, because it is equal to n+sod(n) for n = 321023142114397 and 321023142114406.

It is not an unprimeable number, because it can be changed into a prime (321023142114449) 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, 55801982 + ... + 61285458.

Almost surely, 2^{321023142114440} is an apocalyptic number.

It is an amenable number.

321023142114440 is an abundant number, since it is smaller than the sum of its proper divisors (404395594087720).

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

321023142114440 is a wasteful number, since it uses less digits than its factorization.

321023142114440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5489802 (or 5489798 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

Adding to 321023142114440 its reverse (44411241320123), we get a palindrome (365434383434563).

The spelling of 321023142114440 in words is "three hundred twenty-one trillion, twenty-three billion, one hundred forty-two million, one hundred fourteen thousand, four hundred forty".