44268160000 has 165 divisors, whose sum is σ = 111003023131. Its totient is φ = 17639936000.

The previous prime is 44268159997. The next prime is 44268160019. The reversal of 44268160000 is 6186244.

The square root of 44268160000 is 210400.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 3470623744 + 40797536256 = 58912^2 + 201984^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 168319869 + ... + 168320131.

Almost surely, 2^44268160000 is an apocalyptic number.

44268160000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

44268160000 is the 210400-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44268160000

44268160000 is an abundant number, since it is smaller than the sum of its proper divisors (66734863131).

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

44268160000 is an frugal number, since it uses more digits than its factorization.

44268160000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 566 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

Multiplying 44268160000 by its product of nonzero digits (9216), we get a square (407975362560000 = 20198400²).

It can be divided in two parts, 442681 and 60000, that added together give a square (502681 = 709²).

The spelling of 44268160000 in words is "forty-four billion, two hundred sixty-eight million, one hundred sixty thousand".