12743915574240 has 240 divisors, whose sum is σ = 44983997361072. Its totient is φ = 3397728024576.

The previous prime is 12743915574233. The next prime is 12743915574283. The reversal of 12743915574240 is 4247551934721.

12743915574240 is a `hidden beast` number, since 1 + 2 + 7 + 4 + 3 + 9 + 1 + 557 + 42 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 39 ways as a sum of consecutive naturals, for example, 69724252 + ... + 69906788.

Almost surely, 2^{12743915574240} is an apocalyptic number.

12743915574240 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 12743915574240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22491998680536).

12743915574240 is an abundant number, since it is smaller than the sum of its proper divisors (32240081786832).

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

12743915574240 is a wasteful number, since it uses less digits than its factorization.

12743915574240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187951 (or 187934 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 54.

The spelling of 12743915574240 in words is "twelve trillion, seven hundred forty-three billion, nine hundred fifteen million, five hundred seventy-four thousand, two hundred forty".