12840003435168 has 1440 divisors, whose sum is σ = 48249241596864. Its totient is φ = 3319512440832.

The previous prime is 12840003435167. The next prime is 12840003435179. The reversal of 12840003435168 is 86153430004821.

12840003435168 is a `hidden beast` number, since 1 + 28 + 400 + 0 + 34 + 35 + 168 = 666.

It is not an unprimeable number, because it can be changed into a prime (12840003435167) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 37002891571 + ... + 37002891917.

Almost surely, 2^{12840003435168} is an apocalyptic number.

12840003435168 is a gapful number since it is divisible by the number (18) 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 12840003435168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24124620798432).

12840003435168 is an abundant number, since it is smaller than the sum of its proper divisors (35409238161696).

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

12840003435168 is a wasteful number, since it uses less digits than its factorization.

12840003435168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 776 (or 752 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

Adding to 12840003435168 its reverse (86153430004821), we get a palindrome (98993433439989).

The spelling of 12840003435168 in words is "twelve trillion, eight hundred forty billion, three million, four hundred thirty-five thousand, one hundred sixty-eight".