4442448000 has 128 divisors (see below), whose sum is σ = 14726874240. Its totient is φ = 1184640000.

The previous prime is 4442447917. The next prime is 4442448019. The reversal of 4442448000 is 8442444.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1725 + ... + 94275.

It is an arithmetic number, because the mean of its divisors is an integer number (115053705).

Almost surely, 2^4442448000 is an apocalyptic number.

4442448000 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 4442448000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7363437120).

4442448000 is an abundant number, since it is smaller than the sum of its proper divisors (10284426240).

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

4442448000 is an equidigital number, since it uses as much as digits as its factorization.

4442448000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92583 (or 92561 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 30.

The square root of 4442448000 is about 66651.6916514502. The cubic root of 4442448000 is about 1643.8951632463.

The spelling of 4442448000 in words is "four billion, four hundred forty-two million, four hundred forty-eight thousand".