4115688192 has 864 divisors, whose sum is σ = 16528601600. Its totient is φ = 985374720.

The previous prime is 4115688191. The next prime is 4115688233. The reversal of 4115688192 is 2918865114.

It is a happy number.

4115688192 is a `hidden beast` number, since 4 + 1 + 1 + 568 + 81 + 9 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4115688191) 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 95 ways as a sum of consecutive naturals, for example, 111234798 + ... + 111234834.

Almost surely, 2^4115688192 is an apocalyptic number.

4115688192 is a gapful number since it is divisible by the number (42) 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 4115688192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8264300800).

4115688192 is an abundant number, since it is smaller than the sum of its proper divisors (12412913408).

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

4115688192 is a wasteful number, since it uses less digits than its factorization.

4115688192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 79 counting only the distinct ones).

The product of its digits is 138240, while the sum is 45.

The square root of 4115688192 is about 64153.6296089317. The cubic root of 4115688192 is about 1602.5594701787.

The spelling of 4115688192 in words is "four billion, one hundred fifteen million, six hundred eighty-eight thousand, one hundred ninety-two".