44100023120 has 80 divisors (see below), whose sum is σ = 105298416720. Its totient is φ = 17166336000.

The previous prime is 44100023047. The next prime is 44100023147. The reversal of 44100023120 is 2132000144.

It can be written as a sum of positive squares in 8 ways, for example, as 104121616 + 43995901504 = 10204^2 + 209752^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1298516 + ... + 1332044.

It is an arithmetic number, because the mean of its divisors is an integer number (1316230209).

Almost surely, 2^44100023120 is an apocalyptic number.

44100023120 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 44100023120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52649208360).

44100023120 is an abundant number, since it is smaller than the sum of its proper divisors (61198393600).

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

44100023120 is a wasteful number, since it uses less digits than its factorization.

44100023120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33984 (or 33978 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 44100023120 its reverse (2132000144), we get a palindrome (46232023264).

The spelling of 44100023120 in words is "forty-four billion, one hundred million, twenty-three thousand, one hundred twenty".