4160685312 has 288 divisors, whose sum is σ = 14204655360. Its totient is φ = 1176698880.

The previous prime is 4160685301. The next prime is 4160685313. The reversal of 4160685312 is 2135860614.

It is a happy number.

4160685312 is a `hidden beast` number, since 4 + 1 + 60 + 68 + 531 + 2 = 666.

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

It is a super-2 number, since 2×4160685312² = 34622604530985074688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4160685313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5467012 + ... + 5467772.

It is an arithmetic number, because the mean of its divisors is an integer number (49321720).

Almost surely, 2^4160685312 is an apocalyptic number.

4160685312 is a gapful number since it is divisible by the number (42) 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 4160685312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7102327680).

4160685312 is an abundant number, since it is smaller than the sum of its proper divisors (10043970048).

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

4160685312 is a wasteful number, since it uses less digits than its factorization.

4160685312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 906 (or 886 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 4160685312 is about 64503.3744233587. The cubic root of 4160685312 is about 1608.3786143432.

The spelling of 4160685312 in words is "four billion, one hundred sixty million, six hundred eighty-five thousand, three hundred twelve".