4442428800 has 576 divisors, whose sum is σ = 17091874800. Its totient is φ = 1137991680.

The previous prime is 4442428799. The next prime is 4442428801. The reversal of 4442428800 is 88242444.

It is an interprime number because it is at equal distance from previous prime (4442428799) and next prime (4442428801).

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4442428801) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 22550302 + ... + 22550498.

Almost surely, 2^4442428800 is an apocalyptic number.

4442428800 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 4442428800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8545937400).

4442428800 is an abundant number, since it is smaller than the sum of its proper divisors (12649446000).

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

4442428800 is a wasteful number, since it uses less digits than its factorization.

4442428800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 36.

The square root of 4442428800 is about 66651.5476189413. The cubic root of 4442428800 is about 1643.8927949700.

The spelling of 4442428800 in words is "four billion, four hundred forty-two million, four hundred twenty-eight thousand, eight hundred".