44100000000 has 729 divisors, whose sum is σ = 184888088931. Its totient is φ = 10080000000.

The previous prime is 44099999971. The next prime is 44100000001. The reversal of 44100000000 is 144.

The square root of 44100000000 is 210000.

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

It can be written as a sum of positive squares in 4 ways, for example, as 31354493184 + 12745506816 = 177072^2 + 112896^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a nialpdrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (44100000001) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 6299999997 + ... + 6300000003.

Almost surely, 2^44100000000 is an apocalyptic number.

44100000000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

44100000000 is the 210000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44100000000

44100000000 is an abundant number, since it is smaller than the sum of its proper divisors (140788088931).

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

44100000000 is an frugal number, since it uses more digits than its factorization.

44100000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

Multiplying 44100000000 by its product of nonzero digits (16), we get a square (705600000000 = 840000²).

44100000000 divided by its product of nonzero digits (16) gives a square (2756250000 = 52500²).

Adding to 44100000000 its reverse (144), we get a palindrome (44100000144).

Multiplying 44100000000 by its reverse (144), we get a square (6350400000000 = 2520000²).

44100000000 divided by its reverse (144) gives a square (306250000 = 17500²).

The spelling of 44100000000 in words is "forty-four billion, one hundred million", and thus it is an aban number.