44400844416 has 64 divisors (see below), whose sum is σ = 117964566720. Its totient is φ = 14797166592.

The previous prime is 44400844391. The next prime is 44400844417. The reversal of 44400844416 is 61444800444.

44400844416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×44400844416³ (a number of 33 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (44400844417) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2476701 + ... + 2494563.

It is an arithmetic number, because the mean of its divisors is an integer number (1843196355).

Almost surely, 2^44400844416 is an apocalyptic number.

It is an amenable number.

44400844416 is an abundant number, since it is smaller than the sum of its proper divisors (73563722304).

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

44400844416 is a wasteful number, since it uses less digits than its factorization.

44400844416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24353 (or 24341 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 39.

The spelling of 44400844416 in words is "forty-four billion, four hundred million, eight hundred forty-four thousand, four hundred sixteen".