414042014 has 32 divisors (see below), whose sum is σ = 659957760. Its totient is φ = 194536800.

The previous prime is 414042011. The next prime is 414042029. The reversal of 414042014 is 410240414.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414042011) 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 in 15 ways as a sum of consecutive naturals, for example, 313247 + ... + 314565.

It is an arithmetic number, because the mean of its divisors is an integer number (20623680).

Almost surely, 2^414042014 is an apocalyptic number.

414042014 is a deficient number, since it is larger than the sum of its proper divisors (245915746).

414042014 is a wasteful number, since it uses less digits than its factorization.

414042014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1496.

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 414042014 is about 20348.0223609077. The cubic root of 414042014 is about 745.3292024371.

Adding to 414042014 its reverse (410240414), we get a palindrome (824282428).

The spelling of 414042014 in words is "four hundred fourteen million, forty-two thousand, fourteen".