4160712192 has 480 divisors, whose sum is σ = 14632730112. Its totient is φ = 1022754816.

The previous prime is 4160712191. The next prime is 4160712203. The reversal of 4160712192 is 2912170614.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4160712191) 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, 40395213 + ... + 40395315.

Almost surely, 2^4160712192 is an apocalyptic number.

4160712192 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 4160712192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7316365056).

4160712192 is an abundant number, since it is smaller than the sum of its proper divisors (10472017920).

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

4160712192 is a wasteful number, since it uses less digits than its factorization.

4160712192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 4160712192 is about 64503.5827842144. The cubic root of 4160712192 is about 1608.3820779652.

The spelling of 4160712192 in words is "four billion, one hundred sixty million, seven hundred twelve thousand, one hundred ninety-two".