12741417792 has 42 divisors (see below), whose sum is σ = 36520975218. Its totient is φ = 4247139072.

The previous prime is 12741417749. The next prime is 12741417809. The reversal of 12741417792 is 29771414721.

12741417792 is a `hidden beast` number, since 127 + 41 + 417 + 79 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 11799173376 + 942244416 = 108624^2 + 30696^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 11059683 + ... + 11060834.

It is an arithmetic number, because the mean of its divisors is an integer number (869547029).

Almost surely, 2^12741417792 is an apocalyptic number.

12741417792 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12741417792 is an abundant number, since it is smaller than the sum of its proper divisors (23779557426).

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

12741417792 is a wasteful number, since it uses less digits than its factorization.

12741417792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22120535 (or 22120522 counting only the distinct ones).

The product of its digits is 197568, while the sum is 45.

The spelling of 12741417792 in words is "twelve billion, seven hundred forty-one million, four hundred seventeen thousand, seven hundred ninety-two".