414010109 has 2 divisors, whose sum is σ = 414010110. Its totient is φ = 414010108.

The previous prime is 414010081. The next prime is 414010117. The reversal of 414010109 is 901010414.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 212284900 + 201725209 = 14570^2 + 14203^2 .

It is a cyclic number.

It is not a de Polignac number, because 414010109 - 2²⁰ = 412961533 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (414010199) 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, 207005054 + 207005055.

It is an arithmetic number, because the mean of its divisors is an integer number (207005055).

Almost surely, 2^414010109 is an apocalyptic number.

It is an amenable number.

414010109 is a deficient number, since it is larger than the sum of its proper divisors (1).

414010109 is an equidigital number, since it uses as much as digits as its factorization.

414010109 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 20.

The square root of 414010109 is about 20347.2383629818. The cubic root of 414010109 is about 745.3100575691.

The spelling of 414010109 in words is "four hundred fourteen million, ten thousand, one hundred nine".