44400440404000 has 96 divisors (see below), whose sum is σ = 115509051783216. Its totient is φ = 16715459891200.

The previous prime is 44400440403953. The next prime is 44400440404031. The reversal of 44400440404000 is 40404400444.

It can be written as a sum of positive squares in 8 ways, for example, as 8912828110096 + 35487612293904 = 2985436^2 + 5957148^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 44400440404000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 326405827 + ... + 326541826.

Almost surely, 2^{44400440404000} is an apocalyptic number.

44400440404000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

44400440404000 is an abundant number, since it is smaller than the sum of its proper divisors (71108611379216).

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

44400440404000 is a wasteful number, since it uses less digits than its factorization.

44400440404000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 652947695 (or 652947677 counting only the distinct ones).

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

Adding to 44400440404000 its reverse (40404400444), we get a palindrome (44440844804444).

The spelling of 44400440404000 in words is "forty-four trillion, four hundred billion, four hundred forty million, four hundred four thousand".