4164889288 has 64 divisors (see below), whose sum is σ = 9303465600. Its totient is φ = 1710159360.

The previous prime is 4164889247. The next prime is 4164889321. The reversal of 4164889288 is 8829884614.

It is a Smith number, since the sum of its digits (58) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (58).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 202956 + ... + 222532.

It is an arithmetic number, because the mean of its divisors is an integer number (145366650).

Almost surely, 2^4164889288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4164889288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4651732800).

4164889288 is an abundant number, since it is smaller than the sum of its proper divisors (5138576312).

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

4164889288 is a wasteful number, since it uses less digits than its factorization.

4164889288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19750 (or 19746 counting only the distinct ones).

The product of its digits is 7077888, while the sum is 58.

The square root of 4164889288 is about 64535.9534523199. The cubic root of 4164889288 is about 1608.9201364364.

The spelling of 4164889288 in words is "four billion, one hundred sixty-four million, eight hundred eighty-nine thousand, two hundred eighty-eight".