44000880004400 has 180 divisors, whose sum is σ = 116288174895192. Its totient is φ = 15998559984000.

The previous prime is 44000880004391. The next prime is 44000880004447. The reversal of 44000880004400 is 440008800044.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a super-3 number, since 3×44000880004400³ (a number of 42 digits) contains 333 as substring.

It is a zygodrome in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4840043855 + ... + 4840052945.

Almost surely, 2^{44000880004400} is an apocalyptic number.

44000880004400 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 44000880004400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58144087447596).

44000880004400 is an abundant number, since it is smaller than the sum of its proper divisors (72287294890792).

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

44000880004400 is an frugal number, since it uses more digits than its factorization.

44000880004400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18233 (or 9109 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 32.

Adding to 44000880004400 its reverse (440008800044), we get a palindrome (44440888804444).

Subtracting from 44000880004400 its reverse (440008800044), we obtain a square (43560871204356 = 6600066²).

44000880004400 divided by its reverse (440008800044) gives a square (100 = 10²).

It can be divided in two parts, 440008 and 80004400, that added together give a palindrome (80444408).

The spelling of 44000880004400 in words is "forty-four trillion, eight hundred eighty million, four thousand, four hundred".