414434262434414 has 16 divisors (see below), whose sum is σ = 640702588046400. Its totient is φ = 200947629877344.

The previous prime is 414434262434399. The next prime is 414434262434473.

It is a happy number.

414434262434414 is nontrivially palindromic in base 10.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20224187609 + ... + 20224208100.

It is an arithmetic number, because the mean of its divisors is an integer number (40043911752900).

Almost surely, 2^{414434262434414} is an apocalyptic number.

414434262434414 is a deficient number, since it is larger than the sum of its proper divisors (226268325611986).

414434262434414 is a wasteful number, since it uses less digits than its factorization.

414434262434414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40448395867.

The product of its digits is 14155776, while the sum is 50.

The spelling of 414434262434414 in words is "four hundred fourteen trillion, four hundred thirty-four billion, two hundred sixty-two million, four hundred thirty-four thousand, four hundred fourteen".