12840094080 has 960 divisors, whose sum is σ = 53184146400. Its totient is φ = 2943959040.

The previous prime is 12840094061. The next prime is 12840094087. The reversal of 12840094080 is 8049004821.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-3 number, since 3×12840094080³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12840094087) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 144270676 + ... + 144270764.

Almost surely, 2^12840094080 is an apocalyptic number.

12840094080 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 12840094080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26592073200).

12840094080 is an abundant number, since it is smaller than the sum of its proper divisors (40344052320).

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

12840094080 is a wasteful number, since it uses less digits than its factorization.

12840094080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 12840094080 in words is "twelve billion, eight hundred forty million, ninety-four thousand, eighty".