413242040242314 has 24 divisors (see below), whose sum is σ = 901060669494180. Its totient is φ = 136869975111168.

The previous prime is 413242040242261. The next prime is 413242040242337.

413242040242314 is a `hidden beast` number, since 4 + 1 + 3 + 24 + 204 + 0 + 2 + 423 + 1 + 4 = 666.

413242040242314 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 393741275697225 + 19500764545089 = 19842915^2 + 4415967^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 73114300119 + ... + 73114305770.

Almost surely, 2^{413242040242314} is an apocalyptic number.

413242040242314 is an abundant number, since it is smaller than the sum of its proper divisors (487818629251866).

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

413242040242314 is a wasteful number, since it uses less digits than its factorization.

413242040242314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146228606054 (or 146228606051 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

The spelling of 413242040242314 in words is "four hundred thirteen trillion, two hundred forty-two billion, forty million, two hundred forty-two thousand, three hundred fourteen".