13341213241440 has 192 divisors, whose sum is σ = 48072162507264. Its totient is φ = 3046639546368.

The previous prime is 13341213241427. The next prime is 13341213241463. The reversal of 13341213241440 is 4414231214331.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1876167 + ... + 5495673.

It is an arithmetic number, because the mean of its divisors is an integer number (250375846392).

Almost surely, 2^{13341213241440} is an apocalyptic number.

13341213241440 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 13341213241440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24036081253632).

13341213241440 is an abundant number, since it is smaller than the sum of its proper divisors (34730949265824).

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

13341213241440 is a wasteful number, since it uses less digits than its factorization.

13341213241440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3620629 (or 3620621 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

Adding to 13341213241440 its reverse (4414231214331), we get a palindrome (17755444455771).

The spelling of 13341213241440 in words is "thirteen trillion, three hundred forty-one billion, two hundred thirteen million, two hundred forty-one thousand, four hundred forty".