13134024440240 has 320 divisors, whose sum is σ = 35815953917952. Its totient is φ = 4430516428800.

The previous prime is 13134024440189. The next prime is 13134024440261. The reversal of 13134024440240 is 4204442043131.

It is a junction number, because it is equal to n+sod(n) for n = 13134024440197 and 13134024440206.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 232873484 + ... + 232929876.

Almost surely, 2^{13134024440240} is an apocalyptic number.

13134024440240 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 13134024440240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17907976958976).

13134024440240 is an abundant number, since it is smaller than the sum of its proper divisors (22681929477712).

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

13134024440240 is a wasteful number, since it uses less digits than its factorization.

13134024440240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56788 (or 56782 counting only the distinct ones).

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

Adding to 13134024440240 its reverse (4204442043131), we get a palindrome (17338466483371).

The spelling of 13134024440240 in words is "thirteen trillion, one hundred thirty-four billion, twenty-four million, four hundred forty thousand, two hundred forty".