4224134042200 has 96 divisors (see below), whose sum is σ = 10050612366960. Its totient is φ = 1650178252800.

The previous prime is 4224134042179. The next prime is 4224134042201. The reversal of 4224134042200 is 22404314224.

It is a super-2 number, since 2×4224134042200² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4224134042201) 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 23 ways as a sum of consecutive naturals, for example, 99885060 + ... + 99927340.

Almost surely, 2^{4224134042200} is an apocalyptic number.

4224134042200 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 4224134042200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5025306183480).

4224134042200 is an abundant number, since it is smaller than the sum of its proper divisors (5826478324760).

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

4224134042200 is a wasteful number, since it uses less digits than its factorization.

4224134042200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53957 (or 53948 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 4224134042200 its reverse (22404314224), we get a palindrome (4246538356424).

The spelling of 4224134042200 in words is "four trillion, two hundred twenty-four billion, one hundred thirty-four million, forty-two thousand, two hundred".