4089416460 has 96 divisors (see below), whose sum is σ = 11836876800. Its totient is φ = 1053803520.

The previous prime is 4089416447. The next prime is 4089416473. The reversal of 4089416460 is 646149804.

It is an interprime number because it is at equal distance from previous prime (4089416447) and next prime (4089416473).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1875651 + ... + 1877829.

It is an arithmetic number, because the mean of its divisors is an integer number (123300800).

Almost surely, 2^4089416460 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 4089416460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5918438400).

4089416460 is an abundant number, since it is smaller than the sum of its proper divisors (7747460340).

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

4089416460 is a wasteful number, since it uses less digits than its factorization.

4089416460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3231 (or 3229 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The square root of 4089416460 is about 63948.5454095713. The cubic root of 4089416460 is about 1599.1423085397.

The spelling of 4089416460 in words is "four billion, eighty-nine million, four hundred sixteen thousand, four hundred sixty".