413412101214314 has 8 divisors (see below), whose sum is σ = 620216943962628. Its totient is φ = 206673119893440.

The previous prime is 413412101214253. The next prime is 413412101214319.

413412101214314 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 413340086808289 + 72014406025 = 20330767^2 + 268355^2 .

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

It is not an unprimeable number, because it can be changed into a prime (413412101214319) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 16465341167 + ... + 16465366274.

Almost surely, 2^{413412101214314} is an apocalyptic number.

413412101214314 is a deficient number, since it is larger than the sum of its proper divisors (206804842748314).

413412101214314 is a wasteful number, since it uses less digits than its factorization.

413412101214314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32930713720.

The product of its (nonzero) digits is 9216, while the sum is 32.

It can be divided in two parts, 41341210 and 1214314, that added together give a palindrome (42555524).

The spelling of 413412101214314 in words is "four hundred thirteen trillion, four hundred twelve billion, one hundred one million, two hundred fourteen thousand, three hundred fourteen".