10242042400 has 36 divisors (see below), whose sum is σ = 25003387962. Its totient is φ = 4096816640.

The previous prime is 10242042389. The next prime is 10242042407. The reversal of 10242042400 is 424024201.

It can be written as a sum of positive squares in 3 ways, for example, as 9692796304 + 549246096 = 98452^2 + 23436^2 .

It is not an unprimeable number, because it can be changed into a prime (10242042407) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 6400477 + ... + 6402076.

Almost surely, 2^10242042400 is an apocalyptic number.

10242042400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10242042400 is an abundant number, since it is smaller than the sum of its proper divisors (14761345562).

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

10242042400 is a wasteful number, since it uses less digits than its factorization.

10242042400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12802573 (or 12802560 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 19.

Adding to 10242042400 its reverse (424024201), we get a palindrome (10666066601).

The spelling of 10242042400 in words is "ten billion, two hundred forty-two million, forty-two thousand, four hundred".