12726205440 has 704 divisors, whose sum is σ = 48728687616. Its totient is φ = 2802843648.

The previous prime is 12726205439. The next prime is 12726205447. The reversal of 12726205440 is 4450262721.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12726205447) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 78074799 + ... + 78074961.

Almost surely, 2^12726205440 is an apocalyptic number.

12726205440 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 12726205440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24364343808).

12726205440 is an abundant number, since it is smaller than the sum of its proper divisors (36002482176).

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

12726205440 is a wasteful number, since it uses less digits than its factorization.

12726205440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 33.

The spelling of 12726205440 in words is "twelve billion, seven hundred twenty-six million, two hundred five thousand, four hundred forty".