414040304101 has 2 divisors, whose sum is σ = 414040304102. Its totient is φ = 414040304100.

The previous prime is 414040304099. The next prime is 414040304129. The reversal of 414040304101 is 101403040414.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 411873867076 + 2166437025 = 641774^2 + 46545^2 .

It is a cyclic number.

It is not a de Polignac number, because 414040304101 - 2¹ = 414040304099 is a prime.

Together with 414040304099, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (414040304191) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207020152050 + 207020152051.

It is an arithmetic number, because the mean of its divisors is an integer number (207020152051).

Almost surely, 2^414040304101 is an apocalyptic number.

It is an amenable number.

414040304101 is a deficient number, since it is larger than the sum of its proper divisors (1).

414040304101 is an equidigital number, since it uses as much as digits as its factorization.

414040304101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 414040304101 its reverse (101403040414), we get a palindrome (515443344515).

The spelling of 414040304101 in words is "four hundred fourteen billion, forty million, three hundred four thousand, one hundred one".