4104866304 has 480 divisors, whose sum is σ = 15443011584. Its totient is φ = 1017815040.

The previous prime is 4104866303. The next prime is 4104866329. The reversal of 4104866304 is 4036684014.

4104866304 is a `hidden beast` number, since 4 + 10 + 4 + 8 + 6 + 630 + 4 = 666.

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 (4104866303) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 8160517 + ... + 8161019.

Almost surely, 2^4104866304 is an apocalyptic number.

4104866304 is a gapful number since it is divisible by the number (44) 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 4104866304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7721505792).

4104866304 is an abundant number, since it is smaller than the sum of its proper divisors (11338145280).

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

4104866304 is a wasteful number, since it uses less digits than its factorization.

4104866304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 568 (or 549 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 4104866304 is about 64069.2305557044. The cubic root of 4104866304 is about 1601.1536346712.

The spelling of 4104866304 in words is "four billion, one hundred four million, eight hundred sixty-six thousand, three hundred four".