4044480000 has 400 divisors, whose sum is σ = 14726486016. Its totient is φ = 977920000.

The previous prime is 4044479987. The next prime is 4044480023. The reversal of 4044480000 is 844404.

It is a tau number, because it is divible by the number of its divisors (400).

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 a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10559809 + ... + 10560191.

Almost surely, 2^4044480000 is an apocalyptic number.

4044480000 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 4044480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7363243008).

4044480000 is an abundant number, since it is smaller than the sum of its proper divisors (10682006016).

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

4044480000 is an equidigital number, since it uses as much as digits as its factorization.

4044480000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

The square root of 4044480000 is about 63596.2263031385. The cubic root of 4044480000 is about 1593.2633423774.

The spelling of 4044480000 in words is "four billion, forty-four million, four hundred eighty thousand".