4189413360 has 400 divisors, whose sum is σ = 15845592960. Its totient is φ = 905564160.

The previous prime is 4189413359. The next prime is 4189413383. The reversal of 4189413360 is 633149814.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 220495431 + ... + 220495449.

Almost surely, 2^4189413360 is an apocalyptic number.

4189413360 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 4189413360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7922796480).

4189413360 is an abundant number, since it is smaller than the sum of its proper divisors (11656179600).

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

4189413360 is a wasteful number, since it uses less digits than its factorization.

4189413360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 57 counting only the distinct ones).

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

The square root of 4189413360 is about 64725.6777484794. The cubic root of 4189413360 is about 1612.0718873092.

The spelling of 4189413360 in words is "four billion, one hundred eighty-nine million, four hundred thirteen thousand, three hundred sixty".