4104460800 has 720 divisors, whose sum is σ = 16622686080. Its totient is φ = 958464000.

The previous prime is 4104460771. The next prime is 4104460817. The reversal of 4104460800 is 80644014.

4104460800 is a `hidden beast` number, since 4 + 10 + 44 + 608 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 51955161 + ... + 51955239.

It is an arithmetic number, because the mean of its divisors is an integer number (23087064).

Almost surely, 2^4104460800 is an apocalyptic number.

4104460800 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 4104460800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8311343040).

4104460800 is an abundant number, since it is smaller than the sum of its proper divisors (12518225280).

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

4104460800 is a wasteful number, since it uses less digits than its factorization.

4104460800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 4104460800 is about 64066.0659007559. The cubic root of 4104460800 is about 1601.1009089925.

The spelling of 4104460800 in words is "four billion, one hundred four million, four hundred sixty thousand, eight hundred".