413432342401 has 32 divisors (see below), whose sum is σ = 487951309440. Its totient is φ = 346603385856.

The previous prime is 413432342371. The next prime is 413432342417. The reversal of 413432342401 is 104243234314.

It is not a de Polignac number, because 413432342401 - 2¹¹ = 413432340353 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (413432342471) 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 31 ways as a sum of consecutive naturals, for example, 12205050 + ... + 12238876.

It is an arithmetic number, because the mean of its divisors is an integer number (15248478420).

Almost surely, 2^413432342401 is an apocalyptic number.

It is an amenable number.

413432342401 is a deficient number, since it is larger than the sum of its proper divisors (74518967039).

413432342401 is a wasteful number, since it uses less digits than its factorization.

413432342401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35793.

The product of its (nonzero) digits is 27648, while the sum is 31.

Adding to 413432342401 its reverse (104243234314), we get a palindrome (517675576715).

The spelling of 413432342401 in words is "four hundred thirteen billion, four hundred thirty-two million, three hundred forty-two thousand, four hundred one".