432241440000201 has 192 divisors, whose sum is σ = 712564003307520. Its totient is φ = 250613383104000.

The previous prime is 432241440000197. The next prime is 432241440000221. The reversal of 432241440000201 is 102000044142234.

432241440000201 is a `hidden beast` number, since 4 + 3 + 2 + 2 + 414 + 40 + 0 + 0 + 0 + 201 = 666.

It is not a de Polignac number, because 432241440000201 - 2² = 432241440000197 is a prime.

It is a super-2 number, since 2×432241440000201² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (432241440000221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 41597669716 + ... + 41597680106.

It is an arithmetic number, because the mean of its divisors is an integer number (3711270850560).

Almost surely, 2^{432241440000201} is an apocalyptic number.

It is an amenable number.

432241440000201 is a deficient number, since it is larger than the sum of its proper divisors (280322563307319).

432241440000201 is a wasteful number, since it uses less digits than its factorization.

432241440000201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11748 (or 11745 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 432241440000201 its reverse (102000044142234), we get a palindrome (534241484142435).

The spelling of 432241440000201 in words is "four hundred thirty-two trillion, two hundred forty-one billion, four hundred forty million, two hundred one", and thus it is an aban number.