14131404240 has 160 divisors (see below), whose sum is σ = 46339534080. Its totient is φ = 3555053568.

The previous prime is 14131404239. The next prime is 14131404251. The reversal of 14131404240 is 4240413141.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 14131404240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 385426 + ... + 420494.

It is an arithmetic number, because the mean of its divisors is an integer number (289622088).

Almost surely, 2^14131404240 is an apocalyptic number.

14131404240 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 14131404240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23169767040).

14131404240 is an abundant number, since it is smaller than the sum of its proper divisors (32208129840).

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

14131404240 is a wasteful number, since it uses less digits than its factorization.

14131404240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35181 (or 35175 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 14131404240 its reverse (4240413141), we get a palindrome (18371817381).

The spelling of 14131404240 in words is "fourteen billion, one hundred thirty-one million, four hundred four thousand, two hundred forty".