44076241125 has 240 divisors, whose sum is σ = 96975903024. Its totient is φ = 19856793600.

The previous prime is 44076241093. The next prime is 44076241133. The reversal of 44076241125 is 52114267044.

44076241125 is a `hidden beast` number, since 4 + 4 + 0 + 7 + 624 + 1 + 1 + 25 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 16371970209 + 27704270916 = 127953^2 + 166446^2 .

It is not a de Polignac number, because 44076241125 - 2⁵ = 44076241093 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 44076241125.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 36216517 + ... + 36217733.

Almost surely, 2^44076241125 is an apocalyptic number.

44076241125 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

44076241125 is an abundant number, since it is smaller than the sum of its proper divisors (52899661899).

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

44076241125 is a wasteful number, since it uses less digits than its factorization.

44076241125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1331 (or 1305 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 44076241125 in words is "forty-four billion, seventy-six million, two hundred forty-one thousand, one hundred twenty-five".