4104928800 has 576 divisors, whose sum is σ = 17976349440. Its totient is φ = 882524160.

The previous prime is 4104928799. The next prime is 4104928813. The reversal of 4104928800 is 88294014.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2569602 + ... + 2571198.

It is an arithmetic number, because the mean of its divisors is an integer number (31208940).

Almost surely, 2^4104928800 is an apocalyptic number.

4104928800 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 4104928800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8988174720).

4104928800 is an abundant number, since it is smaller than the sum of its proper divisors (13871420640).

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

4104928800 is a wasteful number, since it uses less digits than its factorization.

4104928800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1650 (or 1631 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 4104928800 is about 64069.7182762653. The cubic root of 4104928800 is about 1601.1617604080.

The spelling of 4104928800 in words is "four billion, one hundred four million, nine hundred twenty-eight thousand, eight hundred".