4161182168 has 128 divisors (see below), whose sum is σ = 9517132800. Its totient is φ = 1680307200.

The previous prime is 4161182143. The next prime is 4161182203. The reversal of 4161182168 is 8612811614.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3704855 + ... + 3705977.

It is an arithmetic number, because the mean of its divisors is an integer number (74352600).

Almost surely, 2^4161182168 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 4161182168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4758566400).

4161182168 is an abundant number, since it is smaller than the sum of its proper divisors (5355950632).

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

4161182168 is a wasteful number, since it uses less digits than its factorization.

4161182168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1273 (or 1269 counting only the distinct ones).

The product of its digits is 18432, while the sum is 38.

The square root of 4161182168 is about 64507.2257037923. The cubic root of 4161182168 is about 1608.4426343060.

The spelling of 4161182168 in words is "four billion, one hundred sixty-one million, one hundred eighty-two thousand, one hundred sixty-eight".