10004123505240 has 48 divisors (see below), whose sum is σ = 32513401393200. Its totient is φ = 2667766267968.

The previous prime is 10004123505227. The next prime is 10004123505253. The reversal of 10004123505240 is 4250532140001.

10004123505240 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 412 + 3 + 5 + 0 + 5 + 240 = 666.

It is an interprime number because it is at equal distance from previous prime (10004123505227) and next prime (10004123505253).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13894615620 + ... + 13894616339.

It is an arithmetic number, because the mean of its divisors is an integer number (677362529025).

Almost surely, 2^{10004123505240} is an apocalyptic number.

10004123505240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10004123505240 is an abundant number, since it is smaller than the sum of its proper divisors (22509277887960).

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

10004123505240 is a wasteful number, since it uses less digits than its factorization.

10004123505240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27789231976 (or 27789231969 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 10004123505240 its reverse (4250532140001), we get a palindrome (14254655645241).

The spelling of 10004123505240 in words is "ten trillion, four billion, one hundred twenty-three million, five hundred five thousand, two hundred forty".