44402442004224 has 432 divisors, whose sum is σ = 131343047035200. Its totient is φ = 14421218033664.

The previous prime is 44402442004223. The next prime is 44402442004253. The reversal of 44402442004224 is 42240024420444.

44402442004224 is a `hidden beast` number, since 4 + 4 + 4 + 0 + 2 + 4 + 420 + 0 + 4 + 224 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44402442004223) by changing a digit.

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, 12276039664 + ... + 12276043280.

It is an arithmetic number, because the mean of its divisors is an integer number (304034831100).

Almost surely, 2^{44402442004224} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44402442004224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65671523517600).

44402442004224 is an abundant number, since it is smaller than the sum of its proper divisors (86940605030976).

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

44402442004224 is a wasteful number, since it uses less digits than its factorization.

44402442004224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4360 (or 4343 counting only the distinct ones).

The product of its (nonzero) digits is 262144, while the sum is 36.

Adding to 44402442004224 its reverse (42240024420444), we get a palindrome (86642466424668).

The spelling of 44402442004224 in words is "forty-four trillion, four hundred two billion, four hundred forty-two million, four thousand, two hundred twenty-four".