44400400400444 has 96 divisors (see below), whose sum is σ = 86810883833856. Its totient is φ = 19702350420480.

The previous prime is 44400400400417. The next prime is 44400400400479.

44400400400444 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 44400400400444.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 90117872 + ... + 90609224.

It is an arithmetic number, because the mean of its divisors is an integer number (904280039936).

Almost surely, 2^{44400400400444} is an apocalyptic number.

44400400400444 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

44400400400444 is a deficient number, since it is larger than the sum of its proper divisors (42410483433412).

44400400400444 is a wasteful number, since it uses less digits than its factorization.

44400400400444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491755 (or 491753 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 32.

It can be divided in two parts, 44400400 and 400444, that added together give a palindrome (44800844).

The spelling of 44400400400444 in words is "forty-four trillion, four hundred billion, four hundred million, four hundred thousand, four hundred forty-four".