4164389130 has 64 divisors (see below), whose sum is σ = 10986471936. Its totient is φ = 1001832000.

The previous prime is 4164389111. The next prime is 4164389149. The reversal of 4164389130 is 319834614.

It is an interprime number because it is at equal distance from previous prime (4164389111) and next prime (4164389149).

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax 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, 4936 + ... + 91395.

It is an arithmetic number, because the mean of its divisors is an integer number (171663624).

Almost surely, 2^4164389130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4164389130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5493235968).

4164389130 is an abundant number, since it is smaller than the sum of its proper divisors (6822082806).

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

4164389130 is a wasteful number, since it uses less digits than its factorization.

4164389130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96483.

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 4164389130 is about 64532.0783021901. The cubic root of 4164389130 is about 1608.8557292428.

The spelling of 4164389130 in words is "four billion, one hundred sixty-four million, three hundred eighty-nine thousand, one hundred thirty".