4242400422200 has 48 divisors (see below), whose sum is σ = 9867906278160. Its totient is φ = 1696216032000.

The previous prime is 4242400422181. The next prime is 4242400422341. The reversal of 4242400422200 is 22240042424.

4242400422200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×4242400422200² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4242400422200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4193516 + ... + 5105915.

It is an arithmetic number, because the mean of its divisors is an integer number (205581380795).

Almost surely, 2^{4242400422200} is an apocalyptic number.

4242400422200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4242400422200 is an abundant number, since it is smaller than the sum of its proper divisors (5625505855960).

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

4242400422200 is a wasteful number, since it uses less digits than its factorization.

4242400422200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9301728 (or 9301719 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 26.

Adding to 4242400422200 its reverse (22240042424), we get a palindrome (4264640464624).

The spelling of 4242400422200 in words is "four trillion, two hundred forty-two billion, four hundred million, four hundred twenty-two thousand, two hundred".