4109916160 has 144 divisors (see below), whose sum is σ = 11472814080. Its totient is φ = 1408942080.

The previous prime is 4109916157. The next prime is 4109916179. The reversal of 4109916160 is 616199014.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 497665 + ... + 505855.

It is an arithmetic number, because the mean of its divisors is an integer number (79672320).

Almost surely, 2^4109916160 is an apocalyptic number.

4109916160 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 4109916160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5736407040).

4109916160 is an abundant number, since it is smaller than the sum of its proper divisors (7362897920).

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

4109916160 is an equidigital number, since it uses as much as digits as its factorization.

4109916160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8232 (or 8205 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 37.

The square root of 4109916160 is about 64108.6278124871. The cubic root of 4109916160 is about 1601.8099517746.

The spelling of 4109916160 in words is "four billion, one hundred nine million, nine hundred sixteen thousand, one hundred sixty".