412414323414214 has 96 divisors (see below), whose sum is σ = 698867110892160. Its totient is φ = 182325617760000.

The previous prime is 412414323414193. The next prime is 412414323414241.

It is a happy number.

412414323414214 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×412414323414214³ (a number of 45 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1152334707 + ... + 1152692545.

It is an arithmetic number, because the mean of its divisors is an integer number (7279865738460).

Almost surely, 2^{412414323414214} is an apocalyptic number.

412414323414214 is a deficient number, since it is larger than the sum of its proper divisors (286452787477946).

412414323414214 is a wasteful number, since it uses less digits than its factorization.

412414323414214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358798 (or 358787 counting only the distinct ones).

The product of its digits is 294912, while the sum is 40.

The spelling of 412414323414214 in words is "four hundred twelve trillion, four hundred fourteen billion, three hundred twenty-three million, four hundred fourteen thousand, two hundred fourteen".