12468791040 has 144 divisors (see below), whose sum is σ = 41918352000. Its totient is φ = 3149991936.

The previous prime is 12468790991. The next prime is 12468791051. The reversal of 12468791040 is 4019786421.

It is a junction number, because it is equal to n+sod(n) for n = 12468790983 and 12468791001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12490 + ... + 158409.

Almost surely, 2^12468791040 is an apocalyptic number.

12468791040 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 12468791040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20959176000).

12468791040 is an abundant number, since it is smaller than the sum of its proper divisors (29449560960).

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

12468791040 is a wasteful number, since it uses less digits than its factorization.

12468791040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170942 (or 170928 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The spelling of 12468791040 in words is "twelve billion, four hundred sixty-eight million, seven hundred ninety-one thousand, forty".