4381008660 has 480 divisors, whose sum is σ = 16563993600. Its totient is φ = 960180480.

The previous prime is 4381008659. The next prime is 4381008661. The reversal of 4381008660 is 668001834.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4381008659) and next prime (4381008661).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4381008661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 40192686 + ... + 40192794.

It is an arithmetic number, because the mean of its divisors is an integer number (34508320).

Almost surely, 2^4381008660 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 4381008660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8281996800).

4381008660 is an abundant number, since it is smaller than the sum of its proper divisors (12182984940).

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

4381008660 is a wasteful number, since it uses less digits than its factorization.

4381008660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 4381008660 is about 66189.1883920629. The cubic root of 4381008660 is about 1636.2815640150.

The spelling of 4381008660 in words is "four billion, three hundred eighty-one million, eight thousand, six hundred sixty".