10004081960 has 16 divisors (see below), whose sum is σ = 22509184500. Its totient is φ = 4001632768.

The previous prime is 10004081957. The next prime is 10004081981. The reversal of 10004081960 is 6918040001.

It can be written as a sum of positive squares in 2 ways, for example, as 10003600324 + 481636 = 100018^2 + 694^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 125050985 + ... + 125051064.

Almost surely, 2^10004081960 is an apocalyptic number.

10004081960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10004081960 is an abundant number, since it is smaller than the sum of its proper divisors (12505102540).

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

10004081960 is a wasteful number, since it uses less digits than its factorization.

10004081960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250102060 (or 250102056 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 29.

The spelling of 10004081960 in words is "ten billion, four million, eighty-one thousand, nine hundred sixty".