13330241443440 has 240 divisors, whose sum is σ = 45327133627776. Its totient is φ = 3510444441600.

The previous prime is 13330241443427. The next prime is 13330241443487. The reversal of 13330241443440 is 4434414203331.

13330241443440 is a `hidden beast` number, since 1 + 3 + 3 + 30 + 241 + 44 + 344 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 13330241443395 and 13330241443404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31989225 + ... + 32403255.

Almost surely, 2^{13330241443440} is an apocalyptic number.

13330241443440 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 13330241443440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22663566813888).

13330241443440 is an abundant number, since it is smaller than the sum of its proper divisors (31996892184336).

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

13330241443440 is a wasteful number, since it uses less digits than its factorization.

13330241443440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414608 (or 414599 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 13330241443440 its reverse (4434414203331), we get a palindrome (17764655646771).

The spelling of 13330241443440 in words is "thirteen trillion, three hundred thirty billion, two hundred forty-one million, four hundred forty-three thousand, four hundred forty".