12826381140 has 72 divisors (see below), whose sum is σ = 39190755240. Its totient is φ = 3395395584.

The previous prime is 12826381109. The next prime is 12826381157. The reversal of 12826381140 is 4118362821.

12826381140 is a `hidden beast` number, since 1 + 2 + 8 + 2 + 638 + 1 + 14 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3458851344 + 9367529796 = 58812^2 + 96786^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 12826381095 and 12826381104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 235405 + ... + 284724.

It is an arithmetic number, because the mean of its divisors is an integer number (544316045).

Almost surely, 2^12826381140 is an apocalyptic number.

12826381140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12826381140 is an abundant number, since it is smaller than the sum of its proper divisors (26364374100).

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

12826381140 is a wasteful number, since it uses less digits than its factorization.

12826381140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 520281 (or 520276 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 12826381140 in words is "twelve billion, eight hundred twenty-six million, three hundred eighty-one thousand, one hundred forty".