413010220340 has 12 divisors (see below), whose sum is σ = 867321462756. Its totient is φ = 165204088128.

The previous prime is 413010220303. The next prime is 413010220391. The reversal of 413010220340 is 43022010314.

It can be written as a sum of positive squares in 2 ways, for example, as 166225813264 + 246784407076 = 407708^2 + 496774^2 .

It is a Harshad number since it is a multiple of its sum of digits (20), and also a Moran number because the ratio is a prime number: 20650511017 = 413010220340 / (4 + 1 + 3 + 0 + 1 + 0 + 2 + 2 + 0 + 3 + 4 + 0).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10325255489 + ... + 10325255528.

It is an arithmetic number, because the mean of its divisors is an integer number (72276788563).

Almost surely, 2^413010220340 is an apocalyptic number.

It is an amenable number.

413010220340 is an abundant number, since it is smaller than the sum of its proper divisors (454311242416).

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

413010220340 is a wasteful number, since it uses less digits than its factorization.

413010220340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20650511026 (or 20650511024 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 413010220340 its reverse (43022010314), we get a palindrome (456032230654).

The spelling of 413010220340 in words is "four hundred thirteen billion, ten million, two hundred twenty thousand, three hundred forty".