12742061409 has 216 divisors, whose sum is σ = 25496617536. Its totient is φ = 5954083200.

The previous prime is 12742061399. The next prime is 12742061419. The reversal of 12742061409 is 90416024721.

It is a happy number.

12742061409 is a `hidden beast` number, since 12 + 7 + 4 + 20 + 614 + 0 + 9 = 666.

It is an interprime number because it is at equal distance from previous prime (12742061399) and next prime (12742061419).

It is not a de Polignac number, because 12742061409 - 2⁵ = 12742061377 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12742061419) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 240416227 + ... + 240416279.

It is an arithmetic number, because the mean of its divisors is an integer number (118039896).

Almost surely, 2^12742061409 is an apocalyptic number.

12742061409 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

12742061409 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

12742061409 is a wasteful number, since it uses less digits than its factorization.

12742061409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 12742061409 in words is "twelve billion, seven hundred forty-two million, sixty-one thousand, four hundred nine".