432144134550401 has 32 divisors (see below), whose sum is σ = 547796377094400. Its totient is φ = 338720759088768.

The previous prime is 432144134550379. The next prime is 432144134550407. The reversal of 432144134550401 is 104055431441234.

It is a de Polignac number, because none of the positive numbers 2^k-432144134550401 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (432144134550407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 452396876 + ... + 453351101.

It is an arithmetic number, because the mean of its divisors is an integer number (17118636784200).

Almost surely, 2^{432144134550401} is an apocalyptic number.

It is an amenable number.

432144134550401 is a deficient number, since it is larger than the sum of its proper divisors (115652242543999).

432144134550401 is a wasteful number, since it uses less digits than its factorization.

432144134550401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 905748118 (or 905748104 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 41.

Adding to 432144134550401 its reverse (104055431441234), we get a palindrome (536199565991635).

The spelling of 432144134550401 in words is "four hundred thirty-two trillion, one hundred forty-four billion, one hundred thirty-four million, five hundred fifty thousand, four hundred one".