12936394240 has 640 divisors, whose sum is σ = 41860177920. Its totient is φ = 3715891200.

The previous prime is 12936394217. The next prime is 12936394241. The reversal of 12936394240 is 4249363921.

It is a tau number, because it is divible by the number of its divisors (640).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12936394241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 177210844 + ... + 177210916.

It is an arithmetic number, because the mean of its divisors is an integer number (65406528).

Almost surely, 2^12936394240 is an apocalyptic number.

12936394240 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 12936394240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20930088960).

12936394240 is an abundant number, since it is smaller than the sum of its proper divisors (28923783680).

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

12936394240 is a wasteful number, since it uses less digits than its factorization.

12936394240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 43.

The spelling of 12936394240 in words is "twelve billion, nine hundred thirty-six million, three hundred ninety-four thousand, two hundred forty".