12641142426 has 128 divisors (see below), whose sum is σ = 28934184960. Its totient is φ = 3648096000.

The previous prime is 12641142403. The next prime is 12641142439. The reversal of 12641142426 is 62424114621.

12641142426 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26390455 + ... + 26390933.

It is an arithmetic number, because the mean of its divisors is an integer number (226048320).

Almost surely, 2^12641142426 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12641142426, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14467092480).

12641142426 is an abundant number, since it is smaller than the sum of its proper divisors (16293042534).

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

12641142426 is a wasteful number, since it uses less digits than its factorization.

12641142426 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 740.

The product of its digits is 18432, while the sum is 33.

The spelling of 12641142426 in words is "twelve billion, six hundred forty-one million, one hundred forty-two thousand, four hundred twenty-six".