13442780876800 has 624 divisors, whose sum is σ = 38340787175424. Its totient is φ = 4629381120000.

The previous prime is 13442780876773. The next prime is 13442780876897. The reversal of 13442780876800 is 867808724431.

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 47 ways as a sum of consecutive naturals, for example, 1641160705 + ... + 1641168895.

Almost surely, 2^{13442780876800} is an apocalyptic number.

13442780876800 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 13442780876800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19170393587712).

13442780876800 is an abundant number, since it is smaller than the sum of its proper divisors (24898006298624).

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

13442780876800 is a wasteful number, since it uses less digits than its factorization.

13442780876800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8314 (or 8287 counting only the distinct ones).

The product of its (nonzero) digits is 14450688, while the sum is 58.

The spelling of 13442780876800 in words is "thirteen trillion, four hundred forty-two billion, seven hundred eighty million, eight hundred seventy-six thousand, eight hundred".