413143303341314 has 128 divisors (see below), whose sum is σ = 785614181990400. Its totient is φ = 158582530437120.

The previous prime is 413143303341299. The next prime is 413143303341331.

413143303341314 is nontrivially palindromic in base 10.

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 63 ways as a sum of consecutive naturals, for example, 1141960319 + ... + 1142322045.

It is an arithmetic number, because the mean of its divisors is an integer number (6137610796800).

Almost surely, 2^{413143303341314} is an apocalyptic number.

413143303341314 is a deficient number, since it is larger than the sum of its proper divisors (372470878649086).

413143303341314 is a wasteful number, since it uses less digits than its factorization.

413143303341314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362628.

The product of its (nonzero) digits is 186624, while the sum is 38.

It can be divided in two parts, 41314330 and 3341314, that added together give a palindrome (44655644).

The spelling of 413143303341314 in words is "four hundred thirteen trillion, one hundred forty-three billion, three hundred three million, three hundred forty-one thousand, three hundred fourteen".