10042132420 has 24 divisors (see below), whose sum is σ = 21093458904. Its totient is φ = 4015904256.

The previous prime is 10042132417. The next prime is 10042132427. The reversal of 10042132420 is 2423124001.

10042132420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2450844036 + 7591288384 = 49506^2 + 87128^2 .

It is not an unprimeable number, because it can be changed into a prime (10042132427) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 30844 + ... + 145036.

It is an arithmetic number, because the mean of its divisors is an integer number (878894121).

Almost surely, 2^10042132420 is an apocalyptic number.

10042132420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10042132420 is an abundant number, since it is smaller than the sum of its proper divisors (11051326484).

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

10042132420 is a wasteful number, since it uses less digits than its factorization.

10042132420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118599 (or 118597 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 10042132420 its reverse (2423124001), we get a palindrome (12465256421).

The spelling of 10042132420 in words is "ten billion, forty-two million, one hundred thirty-two thousand, four hundred twenty".