13400611600431 has 16 divisors (see below), whose sum is σ = 19496051976960. Its totient is φ = 8119810585920.

The previous prime is 13400611600417. The next prime is 13400611600459.

13400611600431 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 13400611600431 - 2⁶ = 13400611600367 is a prime.

It is a super-2 number, since 2×13400611600431² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13400611600231) 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 15 ways as a sum of consecutive naturals, for example, 44151526 + ... + 44454003.

It is an arithmetic number, because the mean of its divisors is an integer number (1218503248560).

Almost surely, 2^{13400611600431} is an apocalyptic number.

13400611600431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13400611600431 is a deficient number, since it is larger than the sum of its proper divisors (6095440376529).

13400611600431 is a wasteful number, since it uses less digits than its factorization.

13400611600431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88610126.

The product of its (nonzero) digits is 5184, while the sum is 30.

It can be divided in two parts, 1340061 and 1600431, that added together give a palindrome (2940492).

The spelling of 13400611600431 in words is "thirteen trillion, four hundred billion, six hundred eleven million, six hundred thousand, four hundred thirty-one".