420340414314321 has 20 divisors (see below), whose sum is σ = 630610845728292. Its totient is φ = 279024252121728.

The previous prime is 420340414314277. The next prime is 420340414314377. The reversal of 420340414314321 is 123413414043024.

420340414314321 is a `hidden beast` number, since 4 + 2 + 0 + 3 + 4 + 0 + 4 + 14 + 314 + 321 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 298809633504321 + 121530780810000 = 17286111^2 + 11024100^2 .

It is not a de Polignac number, because 420340414314321 - 2³⁰ = 420339340572497 is a prime.

It is not an unprimeable number, because it can be changed into a prime (420340414314521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 11136006516 + ... + 11136044261.

Almost surely, 2^{420340414314321} is an apocalyptic number.

It is an amenable number.

420340414314321 is a deficient number, since it is larger than the sum of its proper divisors (210270431413971).

420340414314321 is a wasteful number, since it uses less digits than its factorization.

420340414314321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22272051022 (or 22272051013 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 420340414314321 its reverse (123413414043024), we get a palindrome (543753828357345).

The spelling of 420340414314321 in words is "four hundred twenty trillion, three hundred forty billion, four hundred fourteen million, three hundred fourteen thousand, three hundred twenty-one".