4160851968 has 312 divisors, whose sum is σ = 13881975744. Its totient is φ = 1079377920.

The previous prime is 4160851951. The next prime is 4160851997. The reversal of 4160851968 is 8691580614.

It is a tau number, because it is divible by the number of its divisors (312).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68210658 + ... + 68210718.

It is an arithmetic number, because the mean of its divisors is an integer number (44493512).

Almost surely, 2^4160851968 is an apocalyptic number.

4160851968 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 4160851968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6940987872).

4160851968 is an abundant number, since it is smaller than the sum of its proper divisors (9721123776).

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

4160851968 is an equidigital number, since it uses as much as digits as its factorization.

4160851968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 48.

The square root of 4160851968 is about 64504.6662498148. Note that the first 3 decimals coincide. The cubic root of 4160851968 is about 1608.4000885593.

The spelling of 4160851968 in words is "four billion, one hundred sixty million, eight hundred fifty-one thousand, nine hundred sixty-eight".