12857313047040 has 2240 divisors, whose sum is σ = 58149811602432. Its totient is φ = 2647373414400.

The previous prime is 12857313047039. The next prime is 12857313047081. The reversal of 12857313047040 is 4074031375821.

12857313047040 is a `hidden beast` number, since 1 + 2 + 8 + 5 + 7 + 3 + 130 + 470 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (2240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 18824762539 + ... + 18824763221.

Almost surely, 2^{12857313047040} is an apocalyptic number.

12857313047040 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 12857313047040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29074905801216).

12857313047040 is an abundant number, since it is smaller than the sum of its proper divisors (45292498555392).

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

12857313047040 is an equidigital number, since it uses as much as digits as its factorization.

12857313047040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 873 (or 842 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 12857313047040 in words is "twelve trillion, eight hundred fifty-seven billion, three hundred thirteen million, forty-seven thousand, forty".