4213243102200 has 384 divisors, whose sum is σ = 14422641891840. Its totient is φ = 1008979200000.

The previous prime is 4213243102177. The next prime is 4213243102217. The reversal of 4213243102200 is 22013423124.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 180372922 + ... + 180396278.

It is an arithmetic number, because the mean of its divisors is an integer number (37558963260).

Almost surely, 2^{4213243102200} is an apocalyptic number.

4213243102200 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 4213243102200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7211320945920).

4213243102200 is an abundant number, since it is smaller than the sum of its proper divisors (10209398789640).

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

4213243102200 is a wasteful number, since it uses less digits than its factorization.

4213243102200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23719 (or 23710 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 4213243102200 its reverse (22013423124), we get a palindrome (4235256525324).

The spelling of 4213243102200 in words is "four trillion, two hundred thirteen billion, two hundred forty-three million, one hundred two thousand, two hundred".