414140401 has 2 divisors, whose sum is σ = 414140402. Its totient is φ = 414140400.

The previous prime is 414140399. The next prime is 414140423. The reversal of 414140401 is 104041414.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 409010176 + 5130225 = 20224^2 + 2265^2 .

It is a cyclic number.

It is not a de Polignac number, because 414140401 - 2¹ = 414140399 is a prime.

Together with 414140399, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (414140471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207070200 + 207070201.

It is an arithmetic number, because the mean of its divisors is an integer number (207070201).

Almost surely, 2^414140401 is an apocalyptic number.

It is an amenable number.

414140401 is a deficient number, since it is larger than the sum of its proper divisors (1).

414140401 is an equidigital number, since it uses as much as digits as its factorization.

414140401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 256, while the sum is 19.

The square root of 414140401 is about 20350.4398232569. The cubic root of 414140401 is about 745.3882342053.

Adding to 414140401 its reverse (104041414), we get a palindrome (518181815).

The spelling of 414140401 in words is "four hundred fourteen million, one hundred forty thousand, four hundred one".