420431050305405 has 12 divisors (see below), whose sum is σ = 728747153862780. Its totient is φ = 224229893496192.

The previous prime is 420431050305391. The next prime is 420431050305419. The reversal of 420431050305405 is 504503050134024.

420431050305405 is a `hidden beast` number, since 4 + 2 + 0 + 4 + 3 + 105 + 0 + 3 + 0 + 540 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (420431050305391) and next prime (420431050305419).

It can be written as a sum of positive squares in 2 ways, for example, as 82774659371364 + 337656390934041 = 9098058^2 + 18375429^2 .

It is not a de Polignac number, because 420431050305405 - 2¹⁸ = 420431050043261 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 420431050305405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4671456114460 + ... + 4671456114549.

It is an arithmetic number, because the mean of its divisors is an integer number (60728929488565).

Almost surely, 2^{420431050305405} is an apocalyptic number.

420431050305405 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

420431050305405 is a deficient number, since it is larger than the sum of its proper divisors (308316103557375).

420431050305405 is a wasteful number, since it uses less digits than its factorization.

420431050305405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9342912229020 (or 9342912229017 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

The spelling of 420431050305405 in words is "four hundred twenty trillion, four hundred thirty-one billion, fifty million, three hundred five thousand, four hundred five".