413344134320041 has 8 divisors (see below), whose sum is σ = 415740941109000. Its totient is φ = 410947414132992.

The previous prime is 413344134319997. The next prime is 413344134320093. The reversal of 413344134320041 is 140023431443314.

It can be written as a sum of positive squares in 4 ways, for example, as 61549846127641 + 351794288192400 = 7845371^2 + 18756180^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 413344134320041 - 2³¹ = 413341986836393 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (413344134320441) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12064690 + ... + 31180843.

It is an arithmetic number, because the mean of its divisors is an integer number (51967617638625).

Almost surely, 2^{413344134320041} is an apocalyptic number.

It is an amenable number.

413344134320041 is a deficient number, since it is larger than the sum of its proper divisors (2396806788959).

413344134320041 is a wasteful number, since it uses less digits than its factorization.

413344134320041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43300955.

The product of its (nonzero) digits is 165888, while the sum is 37.

Adding to 413344134320041 its reverse (140023431443314), we get a palindrome (553367565763355).

The spelling of 413344134320041 in words is "four hundred thirteen trillion, three hundred forty-four billion, one hundred thirty-four million, three hundred twenty thousand, forty-one".