44006004000 has 480 divisors, whose sum is σ = 184600031616. Its totient is φ = 10057996800.

The previous prime is 44006003959. The next prime is 44006004037. The reversal of 44006004000 is 40060044.

44006004000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (18).

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2258299 + ... + 2277701.

Almost surely, 2^44006004000 is an apocalyptic number.

44006004000 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 44006004000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92300015808).

44006004000 is an abundant number, since it is smaller than the sum of its proper divisors (140594027616).

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

44006004000 is a wasteful number, since it uses less digits than its factorization.

44006004000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19447 (or 19420 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 44006004000 its reverse (40060044), we get a palindrome (44046064044).

The spelling of 44006004000 in words is "forty-four billion, six million, four thousand", and thus it is an eban number.