44044404000 has 384 divisors, whose sum is σ = 147735124992. Its totient is φ = 11468390400.

The previous prime is 44044403903. The next prime is 44044404007. The reversal of 44044404000 is 40444044.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is not an unprimeable number, because it can be changed into a prime (44044404007) 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, 120011817 + ... + 120012183.

It is an arithmetic number, because the mean of its divisors is an integer number (384726888).

Almost surely, 2^44044404000 is an apocalyptic number.

44044404000 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 44044404000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73867562496).

44044404000 is an abundant number, since it is smaller than the sum of its proper divisors (103690720992).

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

44044404000 is a wasteful number, since it uses less digits than its factorization.

44044404000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 605 (or 587 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

Adding to 44044404000 its reverse (40444044), we get a palindrome (44084848044).

The spelling of 44044404000 in words is "forty-four billion, forty-four million, four hundred four thousand".