10404124140321 has 20 divisors (see below), whose sum is σ = 15962016286612. Its totient is φ = 6748621062048.

The previous prime is 10404124140299. The next prime is 10404124140359. The reversal of 10404124140321 is 12304142140401.

10404124140321 is a `hidden beast` number, since 10 + 4 + 0 + 4 + 1 + 241 + 403 + 2 + 1 = 666.

10404124140321 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 3859020584721 + 6545103555600 = 1964439^2 + 2558340^2 .

It is not a de Polignac number, because 10404124140321 - 2³⁰ = 10403050398497 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10404124144321) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1735753450 + ... + 1735759443.

Almost surely, 2^{10404124140321} is an apocalyptic number.

It is an amenable number.

10404124140321 is a deficient number, since it is larger than the sum of its proper divisors (5557892146291).

10404124140321 is an equidigital number, since it uses as much as digits as its factorization.

10404124140321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3471512942 (or 3471512933 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 10404124140321 its reverse (12304142140401), we get a palindrome (22708266280722).

The spelling of 10404124140321 in words is "ten trillion, four hundred four billion, one hundred twenty-four million, one hundred forty thousand, three hundred twenty-one".