44481940255200 has 1152 divisors, whose sum is σ = 178855452518400. Its totient is φ = 9377588183040.

The previous prime is 44481940255183. The next prime is 44481940255201. The reversal of 44481940255200 is 255204918444.

It is a super-2 number, since 2×44481940255200² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 44481940255200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44481940255201) 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, 10410000264 + ... + 10410004536.

It is an arithmetic number, because the mean of its divisors is an integer number (155256469200).

Almost surely, 2^{44481940255200} is an apocalyptic number.

44481940255200 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 44481940255200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89427726259200).

44481940255200 is an abundant number, since it is smaller than the sum of its proper divisors (134373512263200).

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

44481940255200 is a wasteful number, since it uses less digits than its factorization.

44481940255200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5284 (or 5271 counting only the distinct ones).

The product of its (nonzero) digits is 1843200, while the sum is 48.

The spelling of 44481940255200 in words is "forty-four trillion, four hundred eighty-one billion, nine hundred forty million, two hundred fifty-five thousand, two hundred".