4470200116200 has 1152 divisors, whose sum is σ = 18940329408000. Its totient is φ = 938843136000.

The previous prime is 4470200116189. The next prime is 4470200116201. The reversal of 4470200116200 is 26110020744.

4470200116200 is a `hidden beast` number, since 4 + 4 + 7 + 0 + 20 + 0 + 11 + 620 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (4470200116201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1934313045 + ... + 1934315355.

Almost surely, 2^{4470200116200} is an apocalyptic number.

4470200116200 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 4470200116200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9470164704000).

4470200116200 is an abundant number, since it is smaller than the sum of its proper divisors (14470129291800).

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

4470200116200 is a wasteful number, since it uses less digits than its factorization.

4470200116200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2608 (or 2582 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

Adding to 4470200116200 its reverse (26110020744), we get a palindrome (4496310136944).

The spelling of 4470200116200 in words is "four trillion, four hundred seventy billion, two hundred million, one hundred sixteen thousand, two hundred".