413301574413 has 80 divisors (see below), whose sum is σ = 760664653056. Its totient is φ = 217779632640.

The previous prime is 413301574391. The next prime is 413301574463. The reversal of 413301574413 is 314475103314.

413301574413 is a `hidden beast` number, since 4 + 13 + 30 + 1 + 574 + 41 + 3 = 666.

It is not a de Polignac number, because 413301574413 - 2¹² = 413301570317 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413301574463) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 7217173 + ... + 7274213.

Almost surely, 2^413301574413 is an apocalyptic number.

It is an amenable number.

413301574413 is a deficient number, since it is larger than the sum of its proper divisors (347363078643).

413301574413 is a wasteful number, since it uses less digits than its factorization.

413301574413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58056 (or 58047 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

Adding to 413301574413 its reverse (314475103314), we get a palindrome (727776677727).

The spelling of 413301574413 in words is "four hundred thirteen billion, three hundred one million, five hundred seventy-four thousand, four hundred thirteen".