14131214231040 has 480 divisors, whose sum is σ = 49543111537920. Its totient is φ = 3722122248192.

The previous prime is 14131214230979. The next prime is 14131214231047. The reversal of 14131214231040 is 4013241213141.

It is a happy number.

14131214231040 is a `hidden beast` number, since 1 + 4 + 13 + 121 + 423 + 104 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a junction number, because it is equal to n+sod(n) for n = 14131214230995 and 14131214231013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14131214231047) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 855443901 + ... + 855460419.

It is an arithmetic number, because the mean of its divisors is an integer number (103214815704).

Almost surely, 2^{14131214231040} is an apocalyptic number.

14131214231040 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 14131214231040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24771555768960).

14131214231040 is an abundant number, since it is smaller than the sum of its proper divisors (35411897306880).

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

14131214231040 is a wasteful number, since it uses less digits than its factorization.

14131214231040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17002 (or 16983 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 14131214231040 its reverse (4013241213141), we get a palindrome (18144455444181).

The spelling of 14131214231040 in words is "fourteen trillion, one hundred thirty-one billion, two hundred fourteen million, two hundred thirty-one thousand, forty".