4160168000 has 56 divisors (see below), whose sum is σ = 10302675864. Its totient is φ = 1664064000.

The previous prime is 4160167997. The next prime is 4160168017. The reversal of 4160168000 is 8610614.

4160168000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1193840704 + 2966327296 = 34552^2 + 54464^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 252011 + ... + 268010.

Almost surely, 2^4160168000 is an apocalyptic number.

4160168000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4160168000 is an abundant number, since it is smaller than the sum of its proper divisors (6142507864).

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

4160168000 is an equidigital number, since it uses as much as digits as its factorization.

4160168000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 520048 (or 520028 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 4160168000 is about 64499.3643379530. The cubic root of 4160168000 is about 1608.3119532060.

Adding to 4160168000 its reverse (8610614), we get a palindrome (4168778614).

The spelling of 4160168000 in words is "four billion, one hundred sixty million, one hundred sixty-eight thousand".