14132433104240 has 160 divisors (see below), whose sum is σ = 36237165048000. Its totient is φ = 5082945536000.

The previous prime is 14132433104233. The next prime is 14132433104287. The reversal of 14132433104240 is 4240133423141.

It is a junction number, because it is equal to n+sod(n) for n = 14132433104197 and 14132433104206.

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, 86754386 + ... + 86917134.

It is an arithmetic number, because the mean of its divisors is an integer number (226482281550).

Almost surely, 2^{14132433104240} is an apocalyptic number.

14132433104240 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 14132433104240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18118582524000).

14132433104240 is an abundant number, since it is smaller than the sum of its proper divisors (22104731943760).

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

14132433104240 is a wasteful number, since it uses less digits than its factorization.

14132433104240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163851 (or 163845 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 14132433104240 its reverse (4240133423141), we get a palindrome (18372566527381).

The spelling of 14132433104240 in words is "fourteen trillion, one hundred thirty-two billion, four hundred thirty-three million, one hundred four thousand, two hundred forty".