44004096000 has 576 divisors, whose sum is σ = 161442590400. Its totient is φ = 11526144000.

The previous prime is 44004095987. The next prime is 44004096001. The reversal of 44004096000 is 69040044.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44004096001) 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, 163583866 + ... + 163584134.

It is an arithmetic number, because the mean of its divisors is an integer number (280282275).

Almost surely, 2^44004096000 is an apocalyptic number.

44004096000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44004096000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80721295200).

44004096000 is an abundant number, since it is smaller than the sum of its proper divisors (117438494400).

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

44004096000 is a wasteful number, since it uses less digits than its factorization.

44004096000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 44004096000 in words is "forty-four billion, four million, ninety-six thousand".