4089500160 has 320 divisors, whose sum is σ = 13717693440. Its totient is φ = 1038090240.

The previous prime is 4089500153. The next prime is 4089500179. The reversal of 4089500160 is 610059804.

It is a tau number, because it is divible by the number of its divisors (320).

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, 21189024 + ... + 21189216.

It is an arithmetic number, because the mean of its divisors is an integer number (42867792).

Almost surely, 2^4089500160 is an apocalyptic number.

4089500160 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 4089500160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6858846720).

4089500160 is an abundant number, since it is smaller than the sum of its proper divisors (9628193280).

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

4089500160 is a wasteful number, since it uses less digits than its factorization.

4089500160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 4089500160 is about 63949.1998386219. The cubic root of 4089500160 is about 1599.1532185965.

Adding to 4089500160 its reverse (610059804), we get a palindrome (4699559964).

The spelling of 4089500160 in words is "four billion, eighty-nine million, five hundred thousand, one hundred sixty".