431420040329 has 2 divisors, whose sum is σ = 431420040330. Its totient is φ = 431420040328.

The previous prime is 431420040263. The next prime is 431420040341. The reversal of 431420040329 is 923040024134.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 219447276304 + 211972764025 = 468452^2 + 460405^2 .

It is a cyclic number.

It is not a de Polignac number, because 431420040329 - 2¹² = 431420036233 is a prime.

It is a super-3 number, since 3×431420040329³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 431420040295 and 431420040304.

It is not a weakly prime, because it can be changed into another prime (431420040349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 215710020164 + 215710020165.

It is an arithmetic number, because the mean of its divisors is an integer number (215710020165).

Almost surely, 2^431420040329 is an apocalyptic number.

It is an amenable number.

431420040329 is a deficient number, since it is larger than the sum of its proper divisors (1).

431420040329 is an equidigital number, since it uses as much as digits as its factorization.

431420040329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 20736, while the sum is 32.

The spelling of 431420040329 in words is "four hundred thirty-one billion, four hundred twenty million, forty thousand, three hundred twenty-nine".