12815742240 has 864 divisors, whose sum is σ = 54651542400. Its totient is φ = 2834818560.

The previous prime is 12815742229. The next prime is 12815742241. The reversal of 12815742240 is 4224751821.

12815742240 is a `hidden beast` number, since 1 + 2 + 81 + 574 + 2 + 2 + 4 + 0 = 666.

12815742240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (864).

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 = 12815742195 and 12815742204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12815742241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 413411025 + ... + 413411055.

It is an arithmetic number, because the mean of its divisors is an integer number (63254100).

Almost surely, 2^12815742240 is an apocalyptic number.

12815742240 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 12815742240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27325771200).

12815742240 is an abundant number, since it is smaller than the sum of its proper divisors (41835800160).

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

12815742240 is an frugal number, since it uses more digits than its factorization.

12815742240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The spelling of 12815742240 in words is "twelve billion, eight hundred fifteen million, seven hundred forty-two thousand, two hundred forty".