13143400042240 has 288 divisors, whose sum is σ = 36089795246400. Its totient is φ = 4545862041600.

The previous prime is 13143400042193. The next prime is 13143400042247. The reversal of 13143400042240 is 4224000434131.

13143400042240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 13143400042199 and 13143400042208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13143400042247) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27904690 + ... + 28371790.

It is an arithmetic number, because the mean of its divisors is an integer number (125311789050).

Almost surely, 2^{13143400042240} is an apocalyptic number.

13143400042240 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 13143400042240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18044897623200).

13143400042240 is an abundant number, since it is smaller than the sum of its proper divisors (22946395204160).

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

13143400042240 is a wasteful number, since it uses less digits than its factorization.

13143400042240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 467243 (or 467229 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 13143400042240 its reverse (4224000434131), we get a palindrome (17367400476371).

The spelling of 13143400042240 in words is "thirteen trillion, one hundred forty-three billion, four hundred million, forty-two thousand, two hundred forty".