12781091040 has 96 divisors (see below), whose sum is σ = 40324023936. Its totient is φ = 3402908160.

The previous prime is 12781091039. The next prime is 12781091087. The reversal of 12781091040 is 4019018721.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 12781090992 and 12781091010.

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, 287935 + ... + 329345.

It is an arithmetic number, because the mean of its divisors is an integer number (420041916).

Almost surely, 2^12781091040 is an apocalyptic number.

12781091040 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 12781091040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20162011968).

12781091040 is an abundant number, since it is smaller than the sum of its proper divisors (27542932896).

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

12781091040 is a wasteful number, since it uses less digits than its factorization.

12781091040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42072 (or 42064 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 33.

The spelling of 12781091040 in words is "twelve billion, seven hundred eighty-one million, ninety-one thousand, forty".