413342202243314 has 32 divisors (see below), whose sum is σ = 627194494872000. Its totient is φ = 204284275518400.

The previous prime is 413342202243283. The next prime is 413342202243343.

413342202243314 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 918156044 + ... + 918606120.

It is an arithmetic number, because the mean of its divisors is an integer number (19599827964750).

Almost surely, 2^{413342202243314} is an apocalyptic number.

413342202243314 is a deficient number, since it is larger than the sum of its proper divisors (213852292628686).

413342202243314 is a wasteful number, since it uses less digits than its factorization.

413342202243314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457738.

The product of its (nonzero) digits is 331776, while the sum is 38.

It can be divided in two parts, 41334220 and 2243314, that added together give a palindrome (43577534).

The spelling of 413342202243314 in words is "four hundred thirteen trillion, three hundred forty-two billion, two hundred two million, two hundred forty-three thousand, three hundred fourteen".