414032144213 has 2 divisors, whose sum is σ = 414032144214. Its totient is φ = 414032144212.

The previous prime is 414032144209. The next prime is 414032144219. The reversal of 414032144213 is 312441230414.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 346599480529 + 67432663684 = 588727^2 + 259678^2 .

It is a cyclic number.

It is not a de Polignac number, because 414032144213 - 2² = 414032144209 is a prime.

It is a super-2 number, since 2×414032144213² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (414032144219) 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, 207016072106 + 207016072107.

It is an arithmetic number, because the mean of its divisors is an integer number (207016072107).

Almost surely, 2^414032144213 is an apocalyptic number.

It is an amenable number.

414032144213 is a deficient number, since it is larger than the sum of its proper divisors (1).

414032144213 is an equidigital number, since it uses as much as digits as its factorization.

414032144213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9216, while the sum is 29.

Adding to 414032144213 its reverse (312441230414), we get a palindrome (726473374627).

The spelling of 414032144213 in words is "four hundred fourteen billion, thirty-two million, one hundred forty-four thousand, two hundred thirteen".