44244514344960 has 1248 divisors, whose sum is σ = 169521249485952. Its totient is φ = 11030463774720.

The previous prime is 44244514344949. The next prime is 44244514344973. The reversal of 44244514344960 is 6944341544244.

44244514344960 is a `hidden beast` number, since 4 + 4 + 2 + 4 + 4 + 5 + 143 + 4 + 496 + 0 = 666.

44244514344960 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 44244514344897 and 44244514344906.

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 95 ways as a sum of consecutive naturals, for example, 13282650495 + ... + 13282653825.

It is an arithmetic number, because the mean of its divisors is an integer number (135834334524).

Almost surely, 2^{44244514344960} is an apocalyptic number.

44244514344960 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 44244514344960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84760624742976).

44244514344960 is an abundant number, since it is smaller than the sum of its proper divisors (125276735140992).

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

44244514344960 is a wasteful number, since it uses less digits than its factorization.

44244514344960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3549 (or 3515 counting only the distinct ones).

The product of its (nonzero) digits is 26542080, while the sum is 54.

The spelling of 44244514344960 in words is "forty-four trillion, two hundred forty-four billion, five hundred fourteen million, three hundred forty-four thousand, nine hundred sixty".