12859142040 has 384 divisors, whose sum is σ = 46702656000. Its totient is φ = 3170285568.

The previous prime is 12859142003. The next prime is 12859142077. The reversal of 12859142040 is 4024195821.

12859142040 is a `hidden beast` number, since 1 + 2 + 8 + 591 + 4 + 20 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (12859142003) and next prime (12859142077).

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 = 12859141986 and 12859142004.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 9748501 + ... + 9749819.

It is an arithmetic number, because the mean of its divisors is an integer number (121621500).

Almost surely, 2^12859142040 is an apocalyptic number.

12859142040 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 12859142040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23351328000).

12859142040 is an abundant number, since it is smaller than the sum of its proper divisors (33843513960).

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

12859142040 is a wasteful number, since it uses less digits than its factorization.

12859142040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1421 (or 1405 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 12859142040 in words is "twelve billion, eight hundred fifty-nine million, one hundred forty-two thousand, forty".