12743771040 has 1152 divisors, whose sum is σ = 61101008640. Its totient is φ = 2438553600.

The previous prime is 12743771039. The next prime is 12743771041. The reversal of 12743771040 is 4017734721.

12743771040 is a `hidden beast` number, since 1 + 274 + 377 + 10 + 4 + 0 = 666.

12743771040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12743771039) and next prime (12743771041).

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 = 12743770986 and 12743771004.

It is not an unprimeable number, because it can be changed into a prime (12743771041) 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 191 ways as a sum of consecutive naturals, for example, 30270030 + ... + 30270450.

It is an arithmetic number, because the mean of its divisors is an integer number (53039070).

Almost surely, 2^12743771040 is an apocalyptic number.

12743771040 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 12743771040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30550504320).

12743771040 is an abundant number, since it is smaller than the sum of its proper divisors (48357237600).

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

12743771040 is a wasteful number, since it uses less digits than its factorization.

12743771040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 36.

The spelling of 12743771040 in words is "twelve billion, seven hundred forty-three million, seven hundred seventy-one thousand, forty".