414042001 has 2 divisors, whose sum is σ = 414042002. Its totient is φ = 414042000.

The previous prime is 414041993. The next prime is 414042011. The reversal of 414042001 is 100240414.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 385140625 + 28901376 = 19625^2 + 5376^2 .

It is a cyclic number.

It is not a de Polignac number, because 414042001 - 2³ = 414041993 is a prime.

It is not a weakly prime, because it can be changed into another prime (414042011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207021000 + 207021001.

It is an arithmetic number, because the mean of its divisors is an integer number (207021001).

Almost surely, 2^414042001 is an apocalyptic number.

It is an amenable number.

414042001 is a deficient number, since it is larger than the sum of its proper divisors (1).

414042001 is an equidigital number, since it uses as much as digits as its factorization.

414042001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 414042001 is about 20348.0220414663. The cubic root of 414042001 is about 745.3291946365.

Adding to 414042001 its reverse (100240414), we get a palindrome (514282415).

The spelling of 414042001 in words is "four hundred fourteen million, forty-two thousand, one".