4160172000 has 192 divisors, whose sum is σ = 14431120704. Its totient is φ = 1044070400.

The previous prime is 4160171993. The next prime is 4160172011. The reversal of 4160172000 is 2710614.

It is a congruent number.

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, 193804 + ... + 214196.

It is an arithmetic number, because the mean of its divisors is an integer number (75162087).

Almost surely, 2^4160172000 is an apocalyptic number.

4160172000 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 4160172000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7215560352).

4160172000 is an abundant number, since it is smaller than the sum of its proper divisors (10270948704).

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

4160172000 is a wasteful number, since it uses less digits than its factorization.

4160172000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20438 (or 20420 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 4160172000 is about 64499.3953460031. The cubic root of 4160172000 is about 1608.3124686696.

Adding to 4160172000 its reverse (2710614), we get a palindrome (4162882614).

The spelling of 4160172000 in words is "four billion, one hundred sixty million, one hundred seventy-two thousand".