4404480000 has 480 divisors, whose sum is σ = 15556020480. Its totient is φ = 1105920000.

The previous prime is 4404479999. The next prime is 4404480007. The reversal of 4404480000 is 844044.

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

It is a super-3 number, since 3×4404480000³ (a number of 30 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

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 not an unprimeable number, because it can be changed into a prime (4404480007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 119039982 + ... + 119040018.

It is an arithmetic number, because the mean of its divisors is an integer number (32408376).

Almost surely, 2^4404480000 is an apocalyptic number.

4404480000 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 4404480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7778010240).

4404480000 is an abundant number, since it is smaller than the sum of its proper divisors (11151540480).

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

4404480000 is an equidigital number, since it uses as much as digits as its factorization.

4404480000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 78 counting only the distinct ones).

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

The square root of 4404480000 is about 66366.2564862596. The cubic root of 4404480000 is about 1639.1984979029.

The spelling of 4404480000 in words is "four billion, four hundred four million, four hundred eighty thousand".