413044113331413 has 48 divisors (see below), whose sum is σ = 605316508371120. Its totient is φ = 271377702715392.

The previous prime is 413044113331217. The next prime is 413044113331427. The reversal of 413044113331413 is 314133311440314.

413044113331413 is a `hidden beast` number, since 4 + 1 + 30 + 441 + 13 + 33 + 141 + 3 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 2161199890404 + 410882913441009 = 1470102^2 + 20270247^2 .

It is not a de Polignac number, because 413044113331413 - 2²⁴ = 413044096554197 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413044113331463) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 397735581 + ... + 398772717.

It is an arithmetic number, because the mean of its divisors is an integer number (12610760591065).

Almost surely, 2^{413044113331413} is an apocalyptic number.

It is an amenable number.

413044113331413 is a deficient number, since it is larger than the sum of its proper divisors (192272395039707).

413044113331413 is a wasteful number, since it uses less digits than its factorization.

413044113331413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1039478 (or 1039475 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

Adding to 413044113331413 its reverse (314133311440314), we get a palindrome (727177424771727).

The spelling of 413044113331413 in words is "four hundred thirteen trillion, forty-four billion, one hundred thirteen million, three hundred thirty-one thousand, four hundred thirteen".