44052240800 has 144 divisors (see below), whose sum is σ = 108936199512. Its totient is φ = 17393664000.

The previous prime is 44052240751. The next prime is 44052240803. The reversal of 44052240800 is 804225044.

It can be written as a sum of positive squares in 12 ways, for example, as 20693397904 + 23358842896 = 143852^2 + 152836^2 .

It is not an unprimeable number, because it can be changed into a prime (44052240803) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 36925004 + ... + 36926196.

Almost surely, 2^44052240800 is an apocalyptic number.

44052240800 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 44052240800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54468099756).

44052240800 is an abundant number, since it is smaller than the sum of its proper divisors (64883958712).

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

44052240800 is a wasteful number, since it uses less digits than its factorization.

44052240800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1771 (or 1758 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 29.

Adding to 44052240800 its reverse (804225044), we get a palindrome (44856465844).

The spelling of 44052240800 in words is "forty-four billion, fifty-two million, two hundred forty thousand, eight hundred".