414033041 has 2 divisors, whose sum is σ = 414033042. Its totient is φ = 414033040.

The previous prime is 414033023. The next prime is 414033049. The reversal of 414033041 is 140330414.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 379470400 + 34562641 = 19480^2 + 5879^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-414033041 is a prime.

It is not a weakly prime, because it can be changed into another prime (414033049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207016520 + 207016521.

It is an arithmetic number, because the mean of its divisors is an integer number (207016521).

Almost surely, 2^414033041 is an apocalyptic number.

It is an amenable number.

414033041 is a deficient number, since it is larger than the sum of its proper divisors (1).

414033041 is an equidigital number, since it uses as much as digits as its factorization.

414033041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 414033041 is about 20347.8018714553. The cubic root of 414033041 is about 745.3238182111.

Adding to 414033041 its reverse (140330414), we get a palindrome (554363455).

It can be divided in two parts, 41403 and 3041, that added together give a palindrome (44444).

The spelling of 414033041 in words is "four hundred fourteen million, thirty-three thousand, forty-one".