4000168192 has 72 divisors (see below), whose sum is σ = 8424632160. Its totient is φ = 1890385920.

The previous prime is 4000168177. The next prime is 4000168213. The reversal of 4000168192 is 2918610004.

It is a happy number.

4000168192 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 3117183 + ... + 3118465.

It is an arithmetic number, because the mean of its divisors is an integer number (117008780).

Almost surely, 2^4000168192 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4000168192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4212316080).

4000168192 is an abundant number, since it is smaller than the sum of its proper divisors (4424463968).

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

4000168192 is a wasteful number, since it uses less digits than its factorization.

4000168192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1959 (or 1945 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 31.

The square root of 4000168192 is about 63246.8828639009. The cubic root of 4000168192 is about 1587.4233006695.

Adding to 4000168192 its reverse (2918610004), we get a palindrome (6918778196).

The spelling of 4000168192 in words is "four billion, one hundred sixty-eight thousand, one hundred ninety-two".