14138740783440 has 960 divisors, whose sum is σ = 65134606118400. Its totient is φ = 2659866771456.

The previous prime is 14138740783379. The next prime is 14138740783441. The reversal of 14138740783440 is 4438704783141.

It is a happy number.

14138740783440 is a `hidden beast` number, since 1 + 4 + 1 + 3 + 87 + 40 + 7 + 83 + 440 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14138740783441) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 20828916 + ... + 21497004.

It is an arithmetic number, because the mean of its divisors is an integer number (67848548040).

Almost surely, 2^{14138740783440} is an apocalyptic number.

14138740783440 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 14138740783440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32567303059200).

14138740783440 is an abundant number, since it is smaller than the sum of its proper divisors (50995865334960).

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

14138740783440 is a wasteful number, since it uses less digits than its factorization.

14138740783440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 668164 (or 668155 counting only the distinct ones).

The product of its (nonzero) digits is 7225344, while the sum is 54.

The spelling of 14138740783440 in words is "fourteen trillion, one hundred thirty-eight billion, seven hundred forty million, seven hundred eighty-three thousand, four hundred forty".