4160201088 has 192 divisors, whose sum is σ = 11903889600. Its totient is φ = 1283641344.

The previous prime is 4160201083. The next prime is 4160201117. The reversal of 4160201088 is 8801020614.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4160201083) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38880331 + ... + 38880437.

It is an arithmetic number, because the mean of its divisors is an integer number (61999425).

Almost surely, 2^4160201088 is an apocalyptic number.

4160201088 is a gapful number since it is divisible by the number (48) 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 4160201088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5951944800).

4160201088 is an abundant number, since it is smaller than the sum of its proper divisors (7743688512).

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

4160201088 is a wasteful number, since it uses less digits than its factorization.

4160201088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

The square root of 4160201088 is about 64499.6208360948. The cubic root of 4160201088 is about 1608.3162171111.

The spelling of 4160201088 in words is "four billion, one hundred sixty million, two hundred one thousand, eighty-eight".