12842413740 has 144 divisors (see below), whose sum is σ = 42103335456. Its totient is φ = 3149798400.

The previous prime is 12842413733. The next prime is 12842413769. The reversal of 12842413740 is 4731424821.

12842413740 is a `hidden beast` number, since 1 + 284 + 2 + 4 + 1 + 374 + 0 = 666.

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 = 12842413695 and 12842413704.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 647775 + ... + 667305.

It is an arithmetic number, because the mean of its divisors is an integer number (292384274).

Almost surely, 2^12842413740 is an apocalyptic number.

12842413740 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 12842413740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21051667728).

12842413740 is an abundant number, since it is smaller than the sum of its proper divisors (29260921716).

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

12842413740 is a wasteful number, since it uses less digits than its factorization.

12842413740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19840 (or 19835 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 12842413740 in words is "twelve billion, eight hundred forty-two million, four hundred thirteen thousand, seven hundred forty".