44125704128 has 112 divisors (see below), whose sum is σ = 96362154240. Its totient is φ = 19881676800.

The previous prime is 44125704127. The next prime is 44125704137. The reversal of 44125704128 is 82140752144.

It is a junction number, because it is equal to n+sod(n) for n = 44125704091 and 44125704100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44125704121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48014453 + ... + 48015371.

Almost surely, 2^44125704128 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 44125704128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48181077120).

44125704128 is an abundant number, since it is smaller than the sum of its proper divisors (52236450112).

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

44125704128 is a wasteful number, since it uses less digits than its factorization.

44125704128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1466 (or 1456 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 38.

The spelling of 44125704128 in words is "forty-four billion, one hundred twenty-five million, seven hundred four thousand, one hundred twenty-eight".