413314444413314 has 8 divisors (see below), whose sum is σ = 626109999953148. Its totient is φ = 204611111095600.

The previous prime is 413314444413253. The next prime is 413314444413337.

413314444413314 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 413248603419289 + 65840994025 = 20328517^2 + 256595^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1023055555277 + ... + 1023055555680.

Almost surely, 2^{413314444413314} is an apocalyptic number.

413314444413314 is a deficient number, since it is larger than the sum of its proper divisors (212795555539834).

413314444413314 is a wasteful number, since it uses less digits than its factorization.

413314444413314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2046111111060.

The product of its digits is 1327104, while the sum is 44.

The spelling of 413314444413314 in words is "four hundred thirteen trillion, three hundred fourteen billion, four hundred forty-four million, four hundred thirteen thousand, three hundred fourteen".