13401232242440 has 192 divisors, whose sum is σ = 37212497971200. Its totient is φ = 4318605268992.

The previous prime is 13401232242427. The next prime is 13401232242443. The reversal of 13401232242440 is 4424223210431.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 13401232242397 and 13401232242406.

It is not an unprimeable number, because it can be changed into a prime (13401232242443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3312704 + ... + 6146256.

It is an arithmetic number, because the mean of its divisors is an integer number (193815093600).

Almost surely, 2^{13401232242440} is an apocalyptic number.

13401232242440 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 13401232242440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18606248985600).

13401232242440 is an abundant number, since it is smaller than the sum of its proper divisors (23811265728760).

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

13401232242440 is a wasteful number, since it uses less digits than its factorization.

13401232242440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2833724 (or 2833713 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 13401232242440 its reverse (4424223210431), we get a palindrome (17825455452871).

The spelling of 13401232242440 in words is "thirteen trillion, four hundred one billion, two hundred thirty-two million, two hundred forty-two thousand, four hundred forty".