44744112400 has 120 divisors (see below), whose sum is σ = 115901097480. Its totient is φ = 16501739520.

The previous prime is 44744112389. The next prime is 44744112401. The reversal of 44744112400 is 421144744.

44744112400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 6792397056 + 37951715344 = 82416^2 + 194812^2 .

It is not an unprimeable number, because it can be changed into a prime (44744112401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4951086 + ... + 4960114.

It is an arithmetic number, because the mean of its divisors is an integer number (965842479).

Almost surely, 2^44744112400 is an apocalyptic number.

44744112400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44744112400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57950548740).

44744112400 is an abundant number, since it is smaller than the sum of its proper divisors (71156985080).

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

44744112400 is a wasteful number, since it uses less digits than its factorization.

44744112400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10013 (or 10002 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 31.

The spelling of 44744112400 in words is "forty-four billion, seven hundred forty-four million, one hundred twelve thousand, four hundred".