10042041020 has 48 divisors (see below), whose sum is σ = 23100983136. Its totient is φ = 3636480000.

The previous prime is 10042041013. The next prime is 10042041047. The reversal of 10042041020 is 2014024001.

10042041020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 10042040986 and 10042041004.

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 15 ways as a sum of consecutive naturals, for example, 41681 + ... + 147720.

It is an arithmetic number, because the mean of its divisors is an integer number (481270482).

Almost surely, 2^10042041020 is an apocalyptic number.

10042041020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10042041020 is an abundant number, since it is smaller than the sum of its proper divisors (13058942116).

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

10042041020 is a wasteful number, since it uses less digits than its factorization.

10042041020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189662 (or 189660 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 10042041020 its reverse (2014024001), we get a palindrome (12056065021).

The spelling of 10042041020 in words is "ten billion, forty-two million, forty-one thousand, twenty".