13310242410240 has 576 divisors, whose sum is σ = 47932770654720. Its totient is φ = 3497131376640.

The previous prime is 13310242410229. The next prime is 13310242410247. The reversal of 13310242410240 is 4201424201331.

13310242410240 is a `hidden beast` number, since 1 + 3 + 3 + 1 + 0 + 2 + 4 + 2 + 410 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13310242410247) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 760967895 + ... + 760985385.

It is an arithmetic number, because the mean of its divisors is an integer number (83216615720).

Almost surely, 2^{13310242410240} is an apocalyptic number.

13310242410240 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 13310242410240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23966385327360).

13310242410240 is an abundant number, since it is smaller than the sum of its proper divisors (34622528244480).

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

13310242410240 is a wasteful number, since it uses less digits than its factorization.

13310242410240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17845 (or 17825 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 13310242410240 its reverse (4201424201331), we get a palindrome (17511666611571).

The spelling of 13310242410240 in words is "thirteen trillion, three hundred ten billion, two hundred forty-two million, four hundred ten thousand, two hundred forty".