12868412040 has 384 divisors, whose sum is σ = 47555838720. Its totient is φ = 2990131200.

The previous prime is 12868412027. The next prime is 12868412057. The reversal of 12868412040 is 4021486821.

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 = 12868411986 and 12868412004.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10402302 + ... + 10403538.

It is an arithmetic number, because the mean of its divisors is an integer number (123843330).

Almost surely, 2^12868412040 is an apocalyptic number.

12868412040 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 12868412040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23777919360).

12868412040 is an abundant number, since it is smaller than the sum of its proper divisors (34687426680).

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

12868412040 is a wasteful number, since it uses less digits than its factorization.

12868412040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1373 (or 1366 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

Adding to 12868412040 its reverse (4021486821), we get a palindrome (16889898861).

The spelling of 12868412040 in words is "twelve billion, eight hundred sixty-eight million, four hundred twelve thousand, forty".