4199633116 has 96 divisors (see below), whose sum is σ = 8941363200. Its totient is φ = 1687910400.

The previous prime is 4199633107. The next prime is 4199633117. The reversal of 4199633116 is 6113369914.

4199633116 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4199633117) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7081716 + ... + 7082308.

It is an arithmetic number, because the mean of its divisors is an integer number (93139200).

Almost surely, 2^4199633116 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 4199633116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4470681600).

4199633116 is an abundant number, since it is smaller than the sum of its proper divisors (4741730084).

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

4199633116 is a wasteful number, since it uses less digits than its factorization.

4199633116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 875 (or 873 counting only the distinct ones).

The product of its digits is 104976, while the sum is 43.

The square root of 4199633116 is about 64804.5763507486. The cubic root of 4199633116 is about 1613.3816651998.

The spelling of 4199633116 in words is "four billion, one hundred ninety-nine million, six hundred thirty-three thousand, one hundred sixteen".