44125704126 has 192 divisors, whose sum is σ = 120017540160. Its totient is φ = 11966330880.

The previous prime is 44125704121. The next prime is 44125704127. The reversal of 44125704126 is 62140752144.

44125704126 is a `hidden beast` number, since 4 + 41 + 2 + 570 + 41 + 2 + 6 = 666.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4008486 + ... + 4019478.

It is an arithmetic number, because the mean of its divisors is an integer number (625091355).

Almost surely, 2^44125704126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44125704126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60008770080).

44125704126 is an abundant number, since it is smaller than the sum of its proper divisors (75891836034).

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

44125704126 is a wasteful number, since it uses less digits than its factorization.

44125704126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11096 (or 11083 counting only the distinct ones).

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

The spelling of 44125704126 in words is "forty-four billion, one hundred twenty-five million, seven hundred four thousand, one hundred twenty-six".