4096443168 has 324 divisors, whose sum is σ = 13013898534. Its totient is φ = 1221350400.

The previous prime is 4096443167. The next prime is 4096443191. The reversal of 4096443168 is 8613446904.

4096443168 is a `hidden beast` number, since 40 + 9 + 6 + 443 + 168 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4046486544 + 49956624 = 63612^2 + 7068^2 .

It is not an unprimeable number, because it can be changed into a prime (4096443161) by changing a digit.

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 53 ways as a sum of consecutive naturals, for example, 99913228 + ... + 99913268.

Almost surely, 2^4096443168 is an apocalyptic number.

4096443168 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 4096443168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6506949267).

4096443168 is an abundant number, since it is smaller than the sum of its proper divisors (8917455366).

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

4096443168 is a wasteful number, since it uses less digits than its factorization.

4096443168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 4096443168 is about 64003.4621563553. The cubic root of 4096443168 is about 1600.0577020857.

The spelling of 4096443168 in words is "four billion, ninety-six million, four hundred forty-three thousand, one hundred sixty-eight".