4718128800 has 576 divisors, whose sum is σ = 19396758528. Its totient is φ = 975744000.

The previous prime is 4718128783. The next prime is 4718128837. The reversal of 4718128800 is 88218174.

It is a happy number.

It is a congruent number.

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, 22360695 + ... + 22360905.

It is an arithmetic number, because the mean of its divisors is an integer number (33674928).

Almost surely, 2^4718128800 is an apocalyptic number.

4718128800 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 4718128800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9698379264).

4718128800 is an abundant number, since it is smaller than the sum of its proper divisors (14678629728).

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

4718128800 is a wasteful number, since it uses less digits than its factorization.

4718128800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 39.

The square root of 4718128800 is about 68688.6366147997. The cubic root of 4718128800 is about 1677.2196073500.

The spelling of 4718128800 in words is "four billion, seven hundred eighteen million, one hundred twenty-eight thousand, eight hundred".