10006047610040 has 32 divisors (see below), whose sum is σ = 22521231366480. Its totient is φ = 4001063622912.

The previous prime is 10006047610037. The next prime is 10006047610081. The reversal of 10006047610040 is 4001674060001.

It is a junction number, because it is equal to n+sod(n) for n = 10006047609985 and 10006047610012.

It is a congruent number.

It is an unprimeable number.

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, 42237314 + ... + 42473553.

Almost surely, 2^{10006047610040} is an apocalyptic number.

10006047610040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10006047610040 is an abundant number, since it is smaller than the sum of its proper divisors (12515183756440).

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

10006047610040 is a wasteful number, since it uses less digits than its factorization.

10006047610040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84713831 (or 84713827 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 29.

The spelling of 10006047610040 in words is "ten trillion, six billion, forty-seven million, six hundred ten thousand, forty".