413322144441125 has 16 divisors (see below), whose sum is σ = 522892146359856. Its totient is φ = 326128157798400.

The previous prime is 413322144441067. The next prime is 413322144441181. The reversal of 413322144441125 is 521144441223314.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 142213471758241 + 271108672682884 = 11925329^2 + 16465378^2 .

It is not a de Polignac number, because 413322144441125 - 2⁸ = 413322144440869 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22647779612 + ... + 22647797861.

It is an arithmetic number, because the mean of its divisors is an integer number (32680759147491).

Almost surely, 2^{413322144441125} is an apocalyptic number.

It is an amenable number.

413322144441125 is a deficient number, since it is larger than the sum of its proper divisors (109570001918731).

413322144441125 is an equidigital number, since it uses as much as digits as its factorization.

413322144441125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45295577561 (or 45295577551 counting only the distinct ones).

The product of its digits is 368640, while the sum is 41.

Adding to 413322144441125 its reverse (521144441223314), we get a palindrome (934466585664439).

The spelling of 413322144441125 in words is "four hundred thirteen trillion, three hundred twenty-two billion, one hundred forty-four million, four hundred forty-one thousand, one hundred twenty-five".