13404144140431 has 16 divisors (see below), whose sum is σ = 15417428595840. Its totient is φ = 11525406498720.

The previous prime is 13404144140423. The next prime is 13404144140501.

13404144140431 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 13404144140431 - 2³ = 13404144140423 is a prime.

It is a super-2 number, since 2×13404144140431² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13404144147431) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52184005 + ... + 52440238.

It is an arithmetic number, because the mean of its divisors is an integer number (963589287240).

Almost surely, 2^{13404144140431} is an apocalyptic number.

13404144140431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13404144140431 is a deficient number, since it is larger than the sum of its proper divisors (2013284455409).

13404144140431 is a wasteful number, since it uses less digits than its factorization.

13404144140431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104624886.

The product of its (nonzero) digits is 36864, while the sum is 34.

It can be divided in two parts, 1340414 and 4140431, that added together give a palindrome (5480845).

The spelling of 13404144140431 in words is "thirteen trillion, four hundred four billion, one hundred forty-four million, one hundred forty thousand, four hundred thirty-one".