4440844041984 has 432 divisors, whose sum is σ = 14705375053824. Its totient is φ = 1262573568000.

The previous prime is 4440844041983. The next prime is 4440844042001. The reversal of 4440844041984 is 4891404480444.

4440844041984 is a `hidden beast` number, since 4 + 4 + 4 + 0 + 8 + 440 + 4 + 198 + 4 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 4440844041984.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4440844041983) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4177651437 + ... + 4177652499.

It is an arithmetic number, because the mean of its divisors is an integer number (34040220032).

Almost surely, 2^{4440844041984} 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 4440844041984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7352687526912).

4440844041984 is an abundant number, since it is smaller than the sum of its proper divisors (10264531011840).

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

4440844041984 is a wasteful number, since it uses less digits than its factorization.

4440844041984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2124 (or 2107 counting only the distinct ones).

The product of its (nonzero) digits is 9437184, while the sum is 54.

The spelling of 4440844041984 in words is "four trillion, four hundred forty billion, eight hundred forty-four million, forty-one thousand, nine hundred eighty-four".