12940050434760 has 192 divisors, whose sum is σ = 44402343336000. Its totient is φ = 3259188472320.

The previous prime is 12940050434743. The next prime is 12940050434761. The reversal of 12940050434760 is 6743405004921.

12940050434760 is a `hidden beast` number, since 1 + 2 + 9 + 40 + 0 + 504 + 3 + 47 + 60 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (12940050434761) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 593695 + ... + 5121774.

It is an arithmetic number, because the mean of its divisors is an integer number (231262204875).

Almost surely, 2^{12940050434760} is an apocalyptic number.

12940050434760 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 12940050434760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22201171668000).

12940050434760 is an abundant number, since it is smaller than the sum of its proper divisors (31462292901240).

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

12940050434760 is a wasteful number, since it uses less digits than its factorization.

12940050434760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5715836 (or 5715829 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 12940050434760 in words is "twelve trillion, nine hundred forty billion, fifty million, four hundred thirty-four thousand, seven hundred sixty".