44404844484000 has 3072 divisors, whose sum is σ = 204789731328000. Its totient is φ = 8282953728000.

The previous prime is 44404844483929. The next prime is 44404844484059. The reversal of 44404844484000 is 48444840444.

44404844484000 is digitally balanced in base 2, 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 (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 21777754981 + ... + 21777757019.

It is an arithmetic number, because the mean of its divisors is an integer number (66663324000).

Almost surely, 2^{44404844484000} is an apocalyptic number.

44404844484000 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 44404844484000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102394865664000).

44404844484000 is an abundant number, since it is smaller than the sum of its proper divisors (160384886844000).

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

44404844484000 is a wasteful number, since it uses less digits than its factorization.

44404844484000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2149 (or 2117 counting only the distinct ones).

The product of its (nonzero) digits is 4194304, while the sum is 48.

It can be divided in two parts, 44404844 and 484000, that added together give a palindrome (44888844).

The spelling of 44404844484000 in words is "forty-four trillion, four hundred four billion, eight hundred forty-four million, four hundred eighty-four thousand".