413822228314 has 64 divisors (see below), whose sum is σ = 695187505152. Its totient is φ = 183138696000.

The previous prime is 413822228291. The next prime is 413822228329.

413822228314 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 318079464 + ... + 318080764.

It is an arithmetic number, because the mean of its divisors is an integer number (10862304768).

Almost surely, 2^413822228314 is an apocalyptic number.

413822228314 is a deficient number, since it is larger than the sum of its proper divisors (281365276838).

413822228314 is a wasteful number, since it uses less digits than its factorization.

413822228314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2731.

The product of its digits is 147456, while the sum is 40.

The spelling of 413822228314 in words is "four hundred thirteen billion, eight hundred twenty-two million, two hundred twenty-eight thousand, three hundred fourteen".