414002041 has 2 divisors, whose sum is σ = 414002042. Its totient is φ = 414002040.

The previous prime is 414002021. The next prime is 414002129. The reversal of 414002041 is 140200414.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 234549225 + 179452816 = 15315^2 + 13396^2 .

It is a cyclic number.

It is not a de Polignac number, because 414002041 - 2²³ = 405613433 is a prime.

It is equal to p_22042501 and since 414002041 and 22042501 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (414002021) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207001020 + 207001021.

It is an arithmetic number, because the mean of its divisors is an integer number (207001021).

Almost surely, 2^414002041 is an apocalyptic number.

It is an amenable number.

414002041 is a deficient number, since it is larger than the sum of its proper divisors (1).

414002041 is an equidigital number, since it uses as much as digits as its factorization.

414002041 is an evil number, because the sum of its binary digits is even.

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

The square root of 414002041 is about 20347.0401041527. The cubic root of 414002041 is about 745.3052161410.

Adding to 414002041 its reverse (140200414), we get a palindrome (554202455).

The spelling of 414002041 in words is "four hundred fourteen million, two thousand, forty-one".