44427028250304 has 448 divisors, whose sum is σ = 150004164710400. Its totient is φ = 12630679474176.

The previous prime is 44427028250291. The next prime is 44427028250309. The reversal of 44427028250304 is 40305282072444.

44427028250304 is a `hidden beast` number, since 4 + 4 + 4 + 2 + 70 + 28 + 250 + 304 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a self number, because there is not a number n which added to its sum of digits gives 44427028250304.

It is not an unprimeable number, because it can be changed into a prime (44427028250309) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6334949902 + ... + 6334956914.

It is an arithmetic number, because the mean of its divisors is an integer number (334830724800).

Almost surely, 2^{44427028250304} 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 44427028250304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75002082355200).

44427028250304 is an abundant number, since it is smaller than the sum of its proper divisors (105577136460096).

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

44427028250304 is a wasteful number, since it uses less digits than its factorization.

44427028250304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9557 (or 9541 counting only the distinct ones).

The product of its (nonzero) digits is 1720320, while the sum is 45.

The spelling of 44427028250304 in words is "forty-four trillion, four hundred twenty-seven billion, twenty-eight million, two hundred fifty thousand, three hundred four".