413441144314 has 16 divisors (see below), whose sum is σ = 676550838240. Its totient is φ = 187924797360.

The previous prime is 413441144293. The next prime is 413441144323.

413441144314 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×413441144314³ (a number of 36 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 413441144314.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1862692 + ... + 2072800.

It is an arithmetic number, because the mean of its divisors is an integer number (42284427390).

Almost surely, 2^413441144314 is an apocalyptic number.

413441144314 is a deficient number, since it is larger than the sum of its proper divisors (263109693926).

413441144314 is a wasteful number, since it uses less digits than its factorization.

413441144314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299565.

The product of its digits is 36864, while the sum is 34.

It can be divided in two parts, 413441 and 144314, that added together give a palindrome (557755).

The spelling of 413441144314 in words is "four hundred thirteen billion, four hundred forty-one million, one hundred forty-four thousand, three hundred fourteen".