4165608384 has 630 divisors, whose sum is σ = 15500262624. Its totient is φ = 1101703680.

The previous prime is 4165608373. The next prime is 4165608439. The reversal of 4165608384 is 4838065614.

4165608384 is a `hidden beast` number, since 4 + 1 + 6 + 5 + 608 + 38 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 134374449 + ... + 134374479.

Almost surely, 2^4165608384 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 4165608384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7750131312).

4165608384 is an abundant number, since it is smaller than the sum of its proper divisors (11334654240).

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

4165608384 is a wasteful number, since it uses less digits than its factorization.

4165608384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 4165608384 is about 64541.5244939256. The cubic root of 4165608384 is about 1609.0127280497.

The spelling of 4165608384 in words is "four billion, one hundred sixty-five million, six hundred eight thousand, three hundred eighty-four".