4232204125200 has 360 divisors, whose sum is σ = 14740479906048. Its totient is φ = 1124480517120.

The previous prime is 4232204125199. The next prime is 4232204125313. The reversal of 4232204125200 is 25214022324.

4232204125200 is a `hidden beast` number, since 4 + 2 + 3 + 220 + 412 + 5 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1450874142 + ... + 1450877058.

Almost surely, 2^{4232204125200} is an apocalyptic number.

4232204125200 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 4232204125200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7370239953024).

4232204125200 is an abundant number, since it is smaller than the sum of its proper divisors (10508275780848).

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

4232204125200 is a wasteful number, since it uses less digits than its factorization.

4232204125200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4271 (or 4257 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 4232204125200 its reverse (25214022324), we get a palindrome (4257418147524).

The spelling of 4232204125200 in words is "four trillion, two hundred thirty-two billion, two hundred four million, one hundred twenty-five thousand, two hundred".