4493888000 has 240 divisors, whose sum is σ = 13044403944. Its totient is φ = 1539686400.

The previous prime is 4493887997. The next prime is 4493888011. The reversal of 4493888000 is 8883944.

It can be written as a sum of positive squares in 4 ways, for example, as 2098372864 + 2395515136 = 45808^2 + 48944^2 .

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 23 ways as a sum of consecutive naturals, for example, 3135284 + ... + 3136716.

Almost surely, 2^4493888000 is an apocalyptic number.

4493888000 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 4493888000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6522201972).

4493888000 is an abundant number, since it is smaller than the sum of its proper divisors (8550515944).

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

4493888000 is an equidigital number, since it uses as much as digits as its factorization.

4493888000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1480 (or 1447 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 44.

The square root of 4493888000 is about 67036.4676873715. The cubic root of 4493888000 is about 1650.2158272926.

The spelling of 4493888000 in words is "four billion, four hundred ninety-three million, eight hundred eighty-eight thousand".