44084224792944 has 240 divisors, whose sum is σ = 142804458501120. Its totient is φ = 12434304729600.

The previous prime is 44084224792889. The next prime is 44084224792957. The reversal of 44084224792944 is 44929742248044.

It is a happy number.

44084224792944 is a `hidden beast` number, since 4 + 4 + 0 + 84 + 22 + 479 + 29 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 629137399 + ... + 629207465.

It is an arithmetic number, because the mean of its divisors is an integer number (595018577088).

Almost surely, 2^{44084224792944} 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 44084224792944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71402229250560).

44084224792944 is an abundant number, since it is smaller than the sum of its proper divisors (98720233708176).

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

44084224792944 is a wasteful number, since it uses less digits than its factorization.

44084224792944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78068 (or 78059 counting only the distinct ones).

The product of its (nonzero) digits is 148635648, while the sum is 63.

The spelling of 44084224792944 in words is "forty-four trillion, eighty-four billion, two hundred twenty-four million, seven hundred ninety-two thousand, nine hundred forty-four".