4183984896 has 288 divisors, whose sum is σ = 13840071168. Its totient is φ = 1092648960.

The previous prime is 4183984879. The next prime is 4183984943. The reversal of 4183984896 is 6984893814.

It is a super-2 number, since 2×4183984896² = 35011459219912261632, which contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 9155100 + ... + 9155556.

Almost surely, 2^4183984896 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 4183984896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6920035584).

4183984896 is an abundant number, since it is smaller than the sum of its proper divisors (9656086272).

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

4183984896 is a wasteful number, since it uses less digits than its factorization.

4183984896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 627 (or 613 counting only the distinct ones).

The product of its digits is 11943936, while the sum is 60.

The square root of 4183984896 is about 64683.7297625918. The cubic root of 4183984896 is about 1611.3753015796.

The spelling of 4183984896 in words is "four billion, one hundred eighty-three million, nine hundred eighty-four thousand, eight hundred ninety-six".