444504405444 has 48 divisors (see below), whose sum is σ = 1134315932736. Its totient is φ = 134358998400.

The previous prime is 444504405413. The next prime is 444504405461.

444504405444 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 444504405396 and 444504405405.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4188727 + ... + 4293534.

It is an arithmetic number, because the mean of its divisors is an integer number (23631581932).

Almost surely, 2^444504405444 is an apocalyptic number.

444504405444 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

444504405444 is an abundant number, since it is smaller than the sum of its proper divisors (689811527292).

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

444504405444 is a wasteful number, since it uses less digits than its factorization.

444504405444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8482676 (or 8482674 counting only the distinct ones).

The product of its (nonzero) digits is 1638400, while the sum is 42.

It can be divided in two parts, 444504 and 405444, that added together give a palindrome (849948).

The spelling of 444504405444 in words is "four hundred forty-four billion, five hundred four million, four hundred five thousand, four hundred forty-four".