12840018280320 has 2048 divisors, whose sum is σ = 55447035494400. Its totient is φ = 2446000128000.

The previous prime is 12840018280291. The next prime is 12840018280321. The reversal of 12840018280320 is 2308281004821.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12840018280321) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 19425140790 + ... + 19425141450.

It is an arithmetic number, because the mean of its divisors is an integer number (27073747800).

Almost surely, 2^{12840018280320} is an apocalyptic number.

12840018280320 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 12840018280320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27723517747200).

12840018280320 is an abundant number, since it is smaller than the sum of its proper divisors (42607017214080).

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

12840018280320 is a wasteful number, since it uses less digits than its factorization.

12840018280320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 908 (or 896 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 39.

The spelling of 12840018280320 in words is "twelve trillion, eight hundred forty billion, eighteen million, two hundred eighty thousand, three hundred twenty".