12340791936 has 336 divisors, whose sum is σ = 40553589930. Its totient is φ = 3736212480.

The previous prime is 12340791907. The next prime is 12340791971. The reversal of 12340791936 is 63919704321.

12340791936 is a `hidden beast` number, since 123 + 407 + 91 + 9 + 36 = 666.

It can be written as a sum of positive squares in only one way, i.e., 6915585600 + 5425206336 = 83160^2 + 73656^2 .

It is a junction number, because it is equal to n+sod(n) for n = 12340791891 and 12340791900.

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 11290206 + ... + 11291298.

Almost surely, 2^12340791936 is an apocalyptic number.

12340791936 is a gapful number since it is divisible by the number (16) 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 12340791936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20276794965).

12340791936 is an abundant number, since it is smaller than the sum of its proper divisors (28212797994).

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

12340791936 is an equidigital number, since it uses as much as digits as its factorization.

12340791936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1147 (or 1109 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The spelling of 12340791936 in words is "twelve billion, three hundred forty million, seven hundred ninety-one thousand, nine hundred thirty-six".