12641071040 has 112 divisors (see below), whose sum is σ = 32752296192. Its totient is φ = 4619206656.

The previous prime is 12641070977. The next prime is 12641071043. The reversal of 12641071040 is 4017014621.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12641071043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 387857 + ... + 419183.

It is an arithmetic number, because the mean of its divisors is an integer number (292431216).

Almost surely, 2^12641071040 is an apocalyptic number.

12641071040 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 12641071040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16376148096).

12641071040 is an abundant number, since it is smaller than the sum of its proper divisors (20111225152).

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

12641071040 is a wasteful number, since it uses less digits than its factorization.

12641071040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31454 (or 31444 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 26.

Adding to 12641071040 its reverse (4017014621), we get a palindrome (16658085661).

The spelling of 12641071040 in words is "twelve billion, six hundred forty-one million, seventy-one thousand, forty".