44165256144 has 80 divisors (see below), whose sum is σ = 119138660352. Its totient is φ = 14071682944.

The previous prime is 44165256139. The next prime is 44165256151.

It is a happy number.

44165256144 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 44165256096 and 44165256105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1628197 + ... + 1655099.

Almost surely, 2^44165256144 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 44165256144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59569330176).

44165256144 is an abundant number, since it is smaller than the sum of its proper divisors (74973404208).

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

44165256144 is a wasteful number, since it uses less digits than its factorization.

44165256144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28424 (or 28418 counting only the distinct ones).

The product of its digits is 460800, while the sum is 42.

It can be divided in two parts, 4416 and 5256144, that multiplied together give a square (23211131904 = 152352²).

The spelling of 44165256144 in words is "forty-four billion, one hundred sixty-five million, two hundred fifty-six thousand, one hundred forty-four".