13378121010240 has 1344 divisors, whose sum is σ = 53086410789120. Its totient is φ = 2845815275520.

The previous prime is 13378121010211. The next prime is 13378121010259. The reversal of 13378121010240 is 4201012187331.

It is a tau number, because it is divible by the number of its divisors (1344).

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 191 ways as a sum of consecutive naturals, for example, 24728504370 + ... + 24728504910.

Almost surely, 2^{13378121010240} is an apocalyptic number.

13378121010240 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 13378121010240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26543205394560).

13378121010240 is an abundant number, since it is smaller than the sum of its proper divisors (39708289778880).

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

13378121010240 is a wasteful number, since it uses less digits than its factorization.

13378121010240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 733 (or 682 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

Adding to 13378121010240 its reverse (4201012187331), we get a palindrome (17579133197571).

The spelling of 13378121010240 in words is "thirteen trillion, three hundred seventy-eight billion, one hundred twenty-one million, ten thousand, two hundred forty".