44129124 has 60 divisors (see below), whose sum is σ = 124248124. Its totient is φ = 13576896.

The previous prime is 44129119. The next prime is 44129131. The reversal of 44129124 is 42192144.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 19448100 + 24681024 = 4410^2 + 4968^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1027 + ... + 9450.

Almost surely, 2^44129124 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44129124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62124062).

44129124 is an abundant number, since it is smaller than the sum of its proper divisors (80119000).

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

44129124 is a wasteful number, since it uses less digits than its factorization.

44129124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10506 (or 10495 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 44129124 is about 6642.9755381154. The cubic root of 44129124 is about 353.3798392170.

It can be divided in two parts, 44129 and 124, that added together give a triangular number (44253 = T₂₉₇).

The spelling of 44129124 in words is "forty-four million, one hundred twenty-nine thousand, one hundred twenty-four".