405406085729 has 2 divisors, whose sum is σ = 405406085730. Its totient is φ = 405406085728.

The previous prime is 405406085717. The next prime is 405406085779. The reversal of 405406085729 is 927580604504.

It is an a-pointer prime, because the next prime (405406085779) can be obtained adding 405406085729 to its sum of digits (50).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 388976742400 + 16429343329 = 623680^2 + 128177^2 .

It is a cyclic number.

It is not a de Polignac number, because 405406085729 - 2¹⁶ = 405406020193 is a prime.

It is a super-2 number, since 2×405406085729² (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (405406085779) 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 as a sum of consecutive naturals, namely, 202703042864 + 202703042865.

It is an arithmetic number, because the mean of its divisors is an integer number (202703042865).

Almost surely, 2^405406085729 is an apocalyptic number.

It is an amenable number.

405406085729 is a deficient number, since it is larger than the sum of its proper divisors (1).

405406085729 is an equidigital number, since it uses as much as digits as its factorization.

405406085729 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2419200, while the sum is 50.

The spelling of 405406085729 in words is "four hundred five billion, four hundred six million, eighty-five thousand, seven hundred twenty-nine".