413031042120444 has 96 divisors (see below), whose sum is σ = 1106711336908800. Its totient is φ = 118570795162560.

The previous prime is 413031042120413. The next prime is 413031042120457. The reversal of 413031042120444 is 444021240130314.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 109192099 + ... + 112911365.

It is an arithmetic number, because the mean of its divisors is an integer number (11528243092800).

Almost surely, 2^{413031042120444} is an apocalyptic number.

413031042120444 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

413031042120444 is an abundant number, since it is smaller than the sum of its proper divisors (693680294788356).

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

413031042120444 is a wasteful number, since it uses less digits than its factorization.

413031042120444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3763583 (or 3763581 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 33.

Adding to 413031042120444 its reverse (444021240130314), we get a palindrome (857052282250758).

The spelling of 413031042120444 in words is "four hundred thirteen trillion, thirty-one billion, forty-two million, one hundred twenty thousand, four hundred forty-four".