414304402133 has 2 divisors, whose sum is σ = 414304402134. Its totient is φ = 414304402132.

The previous prime is 414304402129. The next prime is 414304402139. The reversal of 414304402133 is 331204403414.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 223390460164 + 190913941969 = 472642^2 + 436937^2 .

It is a cyclic number.

It is not a de Polignac number, because 414304402133 - 2² = 414304402129 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 414304402096 and 414304402105.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (414304402139) 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 as a sum of consecutive naturals, namely, 207152201066 + 207152201067.

It is an arithmetic number, because the mean of its divisors is an integer number (207152201067).

Almost surely, 2^414304402133 is an apocalyptic number.

It is an amenable number.

414304402133 is a deficient number, since it is larger than the sum of its proper divisors (1).

414304402133 is an equidigital number, since it uses as much as digits as its factorization.

414304402133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 13824, while the sum is 29.

Adding to 414304402133 its reverse (331204403414), we get a palindrome (745508805547).

The spelling of 414304402133 in words is "four hundred fourteen billion, three hundred four million, four hundred two thousand, one hundred thirty-three".