12405430767 has 32 divisors (see below), whose sum is σ = 16913733120. Its totient is φ = 8086010240.

The previous prime is 12405430759. The next prime is 12405430769. The reversal of 12405430767 is 76703450421.

It is a cyclic number.

It is not a de Polignac number, because 12405430767 - 2³ = 12405430759 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12405430769) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 18162808 + ... + 18163490.

It is an arithmetic number, because the mean of its divisors is an integer number (528554160).

Almost surely, 2^12405430767 is an apocalyptic number.

12405430767 is a deficient number, since it is larger than the sum of its proper divisors (4508302353).

12405430767 is a wasteful number, since it uses less digits than its factorization.

12405430767 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1343.

The product of its (nonzero) digits is 141120, while the sum is 39.

The spelling of 12405430767 in words is "twelve billion, four hundred five million, four hundred thirty thousand, seven hundred sixty-seven".