431304442401 has 64 divisors (see below), whose sum is σ = 698504601600. Its totient is φ = 231090886656.

The previous prime is 431304442381. The next prime is 431304442417. The reversal of 431304442401 is 104244403134.

It is not a de Polignac number, because 431304442401 - 2⁷ = 431304442273 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (431304442441) 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 63 ways as a sum of consecutive naturals, for example, 151706086 + ... + 151708928.

It is an arithmetic number, because the mean of its divisors is an integer number (10914134400).

Almost surely, 2^431304442401 is an apocalyptic number.

It is an amenable number.

431304442401 is a deficient number, since it is larger than the sum of its proper divisors (267200159199).

431304442401 is a wasteful number, since it uses less digits than its factorization.

431304442401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4318.

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 431304442401 its reverse (104244403134), we get a palindrome (535548845535).

The spelling of 431304442401 in words is "four hundred thirty-one billion, three hundred four million, four hundred forty-two thousand, four hundred one".