414042121 has 2 divisors, whose sum is σ = 414042122. Its totient is φ = 414042120.

The previous prime is 414042061. The next prime is 414042131. The reversal of 414042121 is 121240414.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 390655225 + 23386896 = 19765^2 + 4836^2 .

It is a cyclic number.

It is not a de Polignac number, because 414042121 - 2⁷ = 414041993 is a prime.

It is not a weakly prime, because it can be changed into another prime (414042131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207021060 + 207021061.

It is an arithmetic number, because the mean of its divisors is an integer number (207021061).

Almost surely, 2^414042121 is an apocalyptic number.

It is an amenable number.

414042121 is a deficient number, since it is larger than the sum of its proper divisors (1).

414042121 is an equidigital number, since it uses as much as digits as its factorization.

414042121 is an evil number, because the sum of its binary digits is even.

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

The square root of 414042121 is about 20348.0249901557. The cubic root of 414042121 is about 745.3292666417.

Adding to 414042121 its reverse (121240414), we get a palindrome (535282535).

The spelling of 414042121 in words is "four hundred fourteen million, forty-two thousand, one hundred twenty-one".