413350320341241 has 24 divisors (see below), whose sum is σ = 613220523129864. Its totient is φ = 268109441683200.

The previous prime is 413350320341213. The next prime is 413350320341243. The reversal of 413350320341241 is 142143023053314.

413350320341241 is a `hidden beast` number, since 4 + 1 + 3 + 3 + 50 + 3 + 20 + 341 + 241 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 22625519443641 + 390724800897600 = 4756629^2 + 19766760^2 .

It is not a de Polignac number, because 413350320341241 - 2⁷ = 413350320341113 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 413350320341196 and 413350320341205.

It is not an unprimeable number, because it can be changed into a prime (413350320341243) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13180756 + ... + 31629621.

It is an arithmetic number, because the mean of its divisors is an integer number (25550855130411).

Almost surely, 2^{413350320341241} is an apocalyptic number.

It is an amenable number.

413350320341241 is a deficient number, since it is larger than the sum of its proper divisors (199870202788623).

413350320341241 is a wasteful number, since it uses less digits than its factorization.

413350320341241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44838121 (or 44838118 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

Adding to 413350320341241 its reverse (142143023053314), we get a palindrome (555493343394555).

The spelling of 413350320341241 in words is "four hundred thirteen trillion, three hundred fifty billion, three hundred twenty million, three hundred forty-one thousand, two hundred forty-one".