10004113325040 has 160 divisors (see below), whose sum is σ = 31041745344000. Its totient is φ = 2665270901760.

The previous prime is 10004113325039. The next prime is 10004113325069. The reversal of 10004113325040 is 4052331140001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 10004113325040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1613823861 + ... + 1613830059.

It is an arithmetic number, because the mean of its divisors is an integer number (194010908400).

Almost surely, 2^{10004113325040} is an apocalyptic number.

10004113325040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10004113325040 is an abundant number, since it is smaller than the sum of its proper divisors (21037632018960).

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

10004113325040 is a wasteful number, since it uses less digits than its factorization.

10004113325040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11415 (or 11409 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 10004113325040 its reverse (4052331140001), we get a palindrome (14056444465041).

The spelling of 10004113325040 in words is "ten trillion, four billion, one hundred thirteen million, three hundred twenty-five thousand, forty".