4332198816 has 360 divisors, whose sum is σ = 14761787040. Its totient is φ = 1241982720.

The previous prime is 4332198781. The next prime is 4332198823. The reversal of 4332198816 is 6188912334.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 5958645 + ... + 5959371.

It is an arithmetic number, because the mean of its divisors is an integer number (41004964).

Almost surely, 2^4332198816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4332198816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7380893520).

4332198816 is an abundant number, since it is smaller than the sum of its proper divisors (10429588224).

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

4332198816 is a wasteful number, since it uses less digits than its factorization.

4332198816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 790 (or 762 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 4332198816 is about 65819.4410185927. The cubic root of 4332198816 is about 1630.1821237529.

The spelling of 4332198816 in words is "four billion, three hundred thirty-two million, one hundred ninety-eight thousand, eight hundred sixteen".