4224340200 has 192 divisors, whose sum is σ = 13971605760. Its totient is φ = 1052139520.

The previous prime is 4224340199. The next prime is 4224340207. The reversal of 4224340200 is 20434224.

It is not an unprimeable number, because it can be changed into a prime (4224340207) 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 47 ways as a sum of consecutive naturals, for example, 1395889 + ... + 1398911.

It is an arithmetic number, because the mean of its divisors is an integer number (72768780).

Almost surely, 2^4224340200 is an apocalyptic number.

4224340200 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 4224340200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6985802880).

4224340200 is an abundant number, since it is smaller than the sum of its proper divisors (9747265560).

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

4224340200 is a wasteful number, since it uses less digits than its factorization.

4224340200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3196 (or 3187 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 21.

The square root of 4224340200 is about 64994.9244172189. The cubic root of 4224340200 is about 1616.5394044909.

Adding to 4224340200 its reverse (20434224), we get a palindrome (4244774424).

The spelling of 4224340200 in words is "four billion, two hundred twenty-four million, three hundred forty thousand, two hundred".