44382866665200 has 960 divisors, whose sum is σ = 173390502297600. Its totient is φ = 9478657843200.

The previous prime is 44382866665177. The next prime is 44382866665201. The reversal of 44382866665200 is 256666828344.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44382866665201) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 18546955204 + ... + 18546957596.

It is an arithmetic number, because the mean of its divisors is an integer number (180615106560).

Almost surely, 2^{44382866665200} is an apocalyptic number.

44382866665200 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 44382866665200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86695251148800).

44382866665200 is an abundant number, since it is smaller than the sum of its proper divisors (129007635632400).

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

44382866665200 is a wasteful number, since it uses less digits than its factorization.

44382866665200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3990 (or 3979 counting only the distinct ones).

The product of its (nonzero) digits is 79626240, while the sum is 60.

The spelling of 44382866665200 in words is "forty-four trillion, three hundred eighty-two billion, eight hundred sixty-six million, six hundred sixty-five thousand, two hundred".