12404461006004 has 24 divisors (see below), whose sum is σ = 21974808847656. Its totient is φ = 6126235920000.

The previous prime is 12404461005961. The next prime is 12404461006009. The reversal of 12404461006004 is 40060016440421.

It can be written as a sum of positive squares in 4 ways, for example, as 3331895321104 + 9072565684900 = 1825348^2 + 3012070^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12404461006009) 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 7 ways as a sum of consecutive naturals, for example, 36295607 + ... + 36635774.

It is an arithmetic number, because the mean of its divisors is an integer number (915617035319).

Almost surely, 2^{12404461006004} is an apocalyptic number.

It is an amenable number.

12404461006004 is a deficient number, since it is larger than the sum of its proper divisors (9570347841652).

12404461006004 is a wasteful number, since it uses less digits than its factorization.

12404461006004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72931907 (or 72931905 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

Adding to 12404461006004 its reverse (40060016440421), we get a palindrome (52464477446425).

The spelling of 12404461006004 in words is "twelve trillion, four hundred four billion, four hundred sixty-one million, six thousand, four".