44484129984 has 224 divisors, whose sum is σ = 140619211776. Its totient is φ = 12134707200.

The previous prime is 44484129953. The next prime is 44484130001. The reversal of 44484129984 is 48992148444.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 23399434 + ... + 23401334.

Almost surely, 2^44484129984 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 44484129984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70309605888).

44484129984 is an abundant number, since it is smaller than the sum of its proper divisors (96135081792).

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

44484129984 is a wasteful number, since it uses less digits than its factorization.

44484129984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2703 (or 2693 counting only the distinct ones).

The product of its digits is 10616832, while the sum is 57.

It can be divided in two parts, 444841 and 29984, that added together give a triangular number (474825 = T₉₇₄).

The spelling of 44484129984 in words is "forty-four billion, four hundred eighty-four million, one hundred twenty-nine thousand, nine hundred eighty-four".