44096120527360 has 480 divisors, whose sum is σ = 121312117933776. Its totient is φ = 15345568972800.

The previous prime is 44096120527307. The next prime is 44096120527423. The reversal of 44096120527360 is 6372502169044.

It can be written as a sum of positive squares in 8 ways, for example, as 3326567436544 + 40769553090816 = 1823888^2 + 6385104^2 .

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 699096784 + ... + 699159856.

Almost surely, 2^{44096120527360} is an apocalyptic number.

44096120527360 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44096120527360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60656058966888).

44096120527360 is an abundant number, since it is smaller than the sum of its proper divisors (77215997406416).

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

44096120527360 is a wasteful number, since it uses less digits than its factorization.

44096120527360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63216 (or 63189 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 49.

The spelling of 44096120527360 in words is "forty-four trillion, ninety-six billion, one hundred twenty million, five hundred twenty-seven thousand, three hundred sixty".