4433216000 has 160 divisors (see below), whose sum is σ = 11170521648. Its totient is φ = 1754726400.

The previous prime is 4433215999. The next prime is 4433216009. The reversal of 4433216000 is 6123344.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1058070784 + 3375145216 = 32528^2 + 58096^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is not an unprimeable number, because it can be changed into a prime (4433216009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7231694 + ... + 7232306.

Almost surely, 2^4433216000 is an apocalyptic number.

4433216000 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 4433216000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5585260824).

4433216000 is an abundant number, since it is smaller than the sum of its proper divisors (6737305648).

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

4433216000 is an equidigital number, since it uses as much as digits as its factorization.

4433216000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 759 (or 733 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

The square root of 4433216000 is about 66582.4000768972. The cubic root of 4433216000 is about 1642.7556289782.

Adding to 4433216000 its reverse (6123344), we get a palindrome (4439339344).

The spelling of 4433216000 in words is "four billion, four hundred thirty-three million, two hundred sixteen thousand".