13414131440 has 80 divisors (see below), whose sum is σ = 31836533760. Its totient is φ = 5254744320.

The previous prime is 13414131431. The next prime is 13414131449. The reversal of 13414131440 is 4413141431.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (13414131431) and next prime (13414131449).

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13414131449) 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, 1273877 + ... + 1284363.

It is an arithmetic number, because the mean of its divisors is an integer number (397956672).

Almost surely, 2^13414131440 is an apocalyptic number.

13414131440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13414131440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15918266880).

13414131440 is an abundant number, since it is smaller than the sum of its proper divisors (18422402320).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13414131440 is a wasteful number, since it uses less digits than its factorization.

13414131440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10830 (or 10824 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

Adding to 13414131440 its reverse (4413141431), we get a palindrome (17827272871).

Subtracting from 13414131440 its reverse (4413141431), we obtain a palindrome (9000990009).

The spelling of 13414131440 in words is "thirteen billion, four hundred fourteen million, one hundred thirty-one thousand, four hundred forty".