4168188421160 has 128 divisors (see below), whose sum is σ = 9546237348480. Its totient is φ = 1637595767808.

The previous prime is 4168188421151. The next prime is 4168188421193. The reversal of 4168188421160 is 611248818614.

It is a junction number, because it is equal to n+sod(n) for n = 4168188421099 and 4168188421108.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1883500214 + ... + 1883502426.

It is an arithmetic number, because the mean of its divisors is an integer number (74579979285).

Almost surely, 2^{4168188421160} is an apocalyptic number.

4168188421160 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 4168188421160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4773118674240).

4168188421160 is an abundant number, since it is smaller than the sum of its proper divisors (5378048927320).

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

4168188421160 is a wasteful number, since it uses less digits than its factorization.

4168188421160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4027 (or 4023 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 50.

The spelling of 4168188421160 in words is "four trillion, one hundred sixty-eight billion, one hundred eighty-eight million, four hundred twenty-one thousand, one hundred sixty".