44000404440400 has 60 divisors (see below), whose sum is σ = 105711842717500. Its totient is φ = 17600016752640.

The previous prime is 44000404440383. The next prime is 44000404440401. The reversal of 44000404440400 is 404440400044.

It can be written as a sum of positive squares in 6 ways, for example, as 1756176243264 + 42244228197136 = 1325208^2 + 6499556^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44000404440401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 57358576 + ... + 58120624.

Almost surely, 2^{44000404440400} is an apocalyptic number.

44000404440400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

44000404440400 is an abundant number, since it is smaller than the sum of its proper divisors (61711438277100).

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

44000404440400 is a wasteful number, since it uses less digits than its factorization.

44000404440400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 906416 (or 906405 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 28.

Adding to 44000404440400 its reverse (404440400044), we get a palindrome (44404844840444).

The spelling of 44000404440400 in words is "forty-four trillion, four hundred four million, four hundred forty thousand, four hundred".