4442985600 has 192 divisors, whose sum is σ = 15139656000. Its totient is φ = 1143869440.

The previous prime is 4442985587. The next prime is 4442985607. The reversal of 4442985600 is 65892444.

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (4442985607) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 270421 + ... + 286379.

It is an arithmetic number, because the mean of its divisors is an integer number (78852375).

Almost surely, 2^4442985600 is an apocalyptic number.

4442985600 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 4442985600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7569828000).

4442985600 is an abundant number, since it is smaller than the sum of its proper divisors (10696670400).

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

4442985600 is a wasteful number, since it uses less digits than its factorization.

4442985600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16015 (or 15998 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The square root of 4442985600 is about 66655.7244353401. The cubic root of 4442985600 is about 1643.9614722117.

The spelling of 4442985600 in words is "four billion, four hundred forty-two million, nine hundred eighty-five thousand, six hundred".