414312343213414 has 16 divisors (see below), whose sum is σ = 654182037331200. Its totient is φ = 196251819213384.

The previous prime is 414312343213411. The next prime is 414312343213421.

414312343213414 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414312343213411) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33355282 + ... + 44059045.

It is an arithmetic number, because the mean of its divisors is an integer number (40886377333200).

Almost surely, 2^{414312343213414} is an apocalyptic number.

414312343213414 is a deficient number, since it is larger than the sum of its proper divisors (239869694117786).

414312343213414 is a wasteful number, since it uses less digits than its factorization.

414312343213414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77555187.

The product of its digits is 331776, while the sum is 40.

The spelling of 414312343213414 in words is "four hundred fourteen trillion, three hundred twelve billion, three hundred forty-three million, two hundred thirteen thousand, four hundred fourteen".