4160108160 has 320 divisors, whose sum is σ = 16001896680. Its totient is φ = 1023860736.

The previous prime is 4160108149. The next prime is 4160108167. The reversal of 4160108160 is 618010614.

4160108160 is a `hidden beast` number, since 41 + 601 + 0 + 8 + 16 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1189422144 + 2970686016 = 34488^2 + 54504^2 .

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (4160108167) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 670834 + ... + 677006.

Almost surely, 2^4160108160 is an apocalyptic number.

4160108160 is a gapful number since it is divisible by the number (40) 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 4160108160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8000948340).

4160108160 is an abundant number, since it is smaller than the sum of its proper divisors (11841788520).

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

4160108160 is a wasteful number, since it uses less digits than its factorization.

4160108160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6217 (or 6196 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 4160108160 is about 64498.9004557442. The cubic root of 4160108160 is about 1608.3042418308.

Adding to 4160108160 its reverse (618010614), we get a palindrome (4778118774).

The spelling of 4160108160 in words is "four billion, one hundred sixty million, one hundred eight thousand, one hundred sixty".