414542343245414 has 32 divisors (see below), whose sum is σ = 628169720724000. Its totient is φ = 205162771806720.

The previous prime is 414542343245413. The next prime is 414542343245441.

It is a happy number.

414542343245414 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 (414542343245413) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 192853772 + ... + 194991440.

It is an arithmetic number, because the mean of its divisors is an integer number (19630303772625).

Almost surely, 2^{414542343245414} is an apocalyptic number.

414542343245414 is a deficient number, since it is larger than the sum of its proper divisors (213627377478586).

414542343245414 is a wasteful number, since it uses less digits than its factorization.

414542343245414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2140088.

The product of its digits is 14745600, while the sum is 50.

The spelling of 414542343245414 in words is "four hundred fourteen trillion, five hundred forty-two billion, three hundred forty-three million, two hundred forty-five thousand, four hundred fourteen".