4161639168 has 288 divisors, whose sum is σ = 13192139520. Its totient is φ = 1289502720.

The previous prime is 4161639161. The next prime is 4161639191. The reversal of 4161639168 is 8619361614.

4161639168 is a `hidden beast` number, since 4 + 1 + 6 + 1 + 639 + 1 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 (4161639161) 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, 12572763 + ... + 12573093.

It is an arithmetic number, because the mean of its divisors is an integer number (45806040).

Almost surely, 2^4161639168 is an apocalyptic number.

4161639168 is a gapful number since it is divisible by the number (48) 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 4161639168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6596069760).

4161639168 is an abundant number, since it is smaller than the sum of its proper divisors (9030500352).

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

4161639168 is a wasteful number, since it uses less digits than its factorization.

4161639168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480 (or 460 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The square root of 4161639168 is about 64510.7678453760. The cubic root of 4161639168 is about 1608.5015143187.

The spelling of 4161639168 in words is "four billion, one hundred sixty-one million, six hundred thirty-nine thousand, one hundred sixty-eight".