20404131410401 has 24 divisors (see below), whose sum is σ = 21942216674280. Its totient is φ = 18964341437184.

The previous prime is 20404131410393. The next prime is 20404131410501. The reversal of 20404131410401 is 10401413140402.

It can be written as a sum of positive squares in 4 ways, for example, as 13798074859776 + 6606056550625 = 3714576^2 + 2570225^2 .

It is not a de Polignac number, because 20404131410401 - 2³ = 20404131410393 is a prime.

It is a super-2 number, since 2×20404131410401² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (20404131410501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 566873661 + ... + 566909653.

It is an arithmetic number, because the mean of its divisors is an integer number (914259028095).

Almost surely, 2^{20404131410401} is an apocalyptic number.

It is an amenable number.

20404131410401 is a deficient number, since it is larger than the sum of its proper divisors (1538085263879).

20404131410401 is a wasteful number, since it uses less digits than its factorization.

20404131410401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65713 (or 65694 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 20404131410401 its reverse (10401413140402), we get a palindrome (30805544550803).

The spelling of 20404131410401 in words is "twenty trillion, four hundred four billion, one hundred thirty-one million, four hundred ten thousand, four hundred one".