414312444213414 has 64 divisors (see below), whose sum is σ = 868509154967040. Its totient is φ = 131510405537280.

The previous prime is 414312444213413. The next prime is 414312444213419.

414312444213414 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414312444213413) by changing a digit.

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, 580458702 + ... + 581172030.

It is an arithmetic number, because the mean of its divisors is an integer number (13570455546360).

Almost surely, 2^{414312444213414} is an apocalyptic number.

414312444213414 is an abundant number, since it is smaller than the sum of its proper divisors (454196710753626).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

414312444213414 is a wasteful number, since it uses less digits than its factorization.

414312444213414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 732125.

The product of its digits is 589824, while the sum is 42.

The spelling of 414312444213414 in words is "four hundred fourteen trillion, three hundred twelve billion, four hundred forty-four million, two hundred thirteen thousand, four hundred fourteen".