413002040200314 has 16 divisors (see below), whose sum is σ = 874592555718528. Its totient is φ = 129569267513792.

The previous prime is 413002040200271. The next prime is 413002040200423.

413002040200314 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2024519804802 + ... + 2024519805005.

It is an arithmetic number, because the mean of its divisors is an integer number (54662034732408).

Almost surely, 2^{413002040200314} is an apocalyptic number.

413002040200314 is an abundant number, since it is smaller than the sum of its proper divisors (461590515518214).

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

413002040200314 is a wasteful number, since it uses less digits than its factorization.

413002040200314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4049039609829.

The product of its (nonzero) digits is 2304, while the sum is 24.

The spelling of 413002040200314 in words is "four hundred thirteen trillion, two billion, forty million, two hundred thousand, three hundred fourteen".