4393218816 has 576 divisors, whose sum is σ = 16011878400. Its totient is φ = 1161216000.

The previous prime is 4393218811. The next prime is 4393218833. The reversal of 4393218816 is 6188123934.

4393218816 is a `hidden beast` number, since 439 + 32 + 188 + 1 + 6 = 666.

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

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

It is not an unprimeable number, because it can be changed into a prime (4393218811) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 43497166 + ... + 43497266.

It is an arithmetic number, because the mean of its divisors is an integer number (27798400).

Almost surely, 2^4393218816 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 4393218816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8005939200).

4393218816 is an abundant number, since it is smaller than the sum of its proper divisors (11618659584).

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

4393218816 is a wasteful number, since it uses less digits than its factorization.

4393218816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 173 counting only the distinct ones).

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

The square root of 4393218816 is about 66281.3609999071. The cubic root of 4393218816 is about 1637.8002949917.

The spelling of 4393218816 in words is "four billion, three hundred ninety-three million, two hundred eighteen thousand, eight hundred sixteen".