4139688168 has 576 divisors, whose sum is σ = 15486033600. Its totient is φ = 1012435200.

The previous prime is 4139688167. The next prime is 4139688181. The reversal of 4139688168 is 8618869314.

4139688168 is a `hidden beast` number, since 413 + 9 + 68 + 8 + 168 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 (4139688167) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 111883446 + ... + 111883482.

It is an arithmetic number, because the mean of its divisors is an integer number (26885475).

Almost surely, 2^4139688168 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 4139688168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7743016800).

4139688168 is an abundant number, since it is smaller than the sum of its proper divisors (11346345432).

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

4139688168 is a wasteful number, since it uses less digits than its factorization.

4139688168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 91 counting only the distinct ones).

The product of its digits is 1990656, while the sum is 54.

The square root of 4139688168 is about 64340.4085159552. The cubic root of 4139688168 is about 1605.6684576932.

The spelling of 4139688168 in words is "four billion, one hundred thirty-nine million, six hundred eighty-eight thousand, one hundred sixty-eight".