44116128 has 144 divisors (see below), whose sum is σ = 145716480. Its totient is φ = 12400128.

The previous prime is 44116109. The next prime is 44116141. The reversal of 44116128 is 82161144.

It is a happy number.

44116128 is a `hidden beast` number, since 4 + 41 + 1 + 612 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 159126 + ... + 159402.

It is an arithmetic number, because the mean of its divisors is an integer number (1011920).

Almost surely, 2^44116128 is an apocalyptic number.

44116128 is a gapful number since it is divisible by the number (48) 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 44116128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72858240).

44116128 is an abundant number, since it is smaller than the sum of its proper divisors (101600352).

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

44116128 is a wasteful number, since it uses less digits than its factorization.

44116128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379 (or 368 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

The square root of 44116128 is about 6641.9972899723. The cubic root of 44116128 is about 353.3451457623.

It can be divided in two parts, 44116 and 128, that added together give a palindrome (44244).

The spelling of 44116128 in words is "forty-four million, one hundred sixteen thousand, one hundred twenty-eight".