12740771840 has 240 divisors, whose sum is σ = 32840398080. Its totient is φ = 4734320640.

The previous prime is 12740771837. The next prime is 12740771843. The reversal of 12740771840 is 4817704721.

It is an interprime number because it is at equal distance from previous prime (12740771837) and next prime (12740771843).

It is not an unprimeable number, because it can be changed into a prime (12740771843) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73645994 + ... + 73646166.

It is an arithmetic number, because the mean of its divisors is an integer number (136834992).

Almost surely, 2^12740771840 is an apocalyptic number.

12740771840 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 12740771840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16420199040).

12740771840 is an abundant number, since it is smaller than the sum of its proper divisors (20099626240).

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

12740771840 is an equidigital number, since it uses as much as digits as its factorization.

12740771840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 87808, while the sum is 41.

The spelling of 12740771840 in words is "twelve billion, seven hundred forty million, seven hundred seventy-one thousand, eight hundred forty".