4165007112 has 192 divisors, whose sum is σ = 13154918400. Its totient is φ = 1165933440.

The previous prime is 4165007101. The next prime is 4165007113. The reversal of 4165007112 is 2117005614.

It is a happy number.

4165007112 is a `hidden beast` number, since 4 + 1 + 650 + 0 + 7 + 1 + 1 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (4165007113) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8552133 + ... + 8552619.

It is an arithmetic number, because the mean of its divisors is an integer number (68515200).

Almost surely, 2^4165007112 is an apocalyptic number.

4165007112 is a gapful number since it is divisible by the number (42) 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 4165007112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6577459200).

4165007112 is an abundant number, since it is smaller than the sum of its proper divisors (8989911288).

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

4165007112 is a wasteful number, since it uses less digits than its factorization.

4165007112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 816 (or 809 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 4165007112 is about 64536.8663013630. The cubic root of 4165007112 is about 1608.9353083178.

The spelling of 4165007112 in words is "four billion, one hundred sixty-five million, seven thousand, one hundred twelve".