4223224324200 has 192 divisors, whose sum is σ = 15000749712000. Its totient is φ = 962826531840.

The previous prime is 4223224324139. The next prime is 4223224324201. The reversal of 4223224324200 is 24234223224.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (4223224324201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 341346 + ... + 2926254.

It is an arithmetic number, because the mean of its divisors is an integer number (78128904750).

Almost surely, 2^{4223224324200} is an apocalyptic number.

4223224324200 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 4223224324200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7500374856000).

4223224324200 is an abundant number, since it is smaller than the sum of its proper divisors (10777525387800).

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

4223224324200 is a wasteful number, since it uses less digits than its factorization.

4223224324200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2585324 (or 2585315 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 30.

Adding to 4223224324200 its reverse (24234223224), we get a palindrome (4247458547424).

The spelling of 4223224324200 in words is "four trillion, two hundred twenty-three billion, two hundred twenty-four million, three hundred twenty-four thousand, two hundred".