4042042431400 has 24 divisors (see below), whose sum is σ = 9397748653470. Its totient is φ = 1616816972480.

The previous prime is 4042042431391. The next prime is 4042042431407. The reversal of 4042042431400 is 41342402404.

It can be written as a sum of positive squares in 3 ways, for example, as 3757712464324 + 284329967076 = 1938482^2 + 533226^2 .

It is not an unprimeable number, because it can be changed into a prime (4042042431407) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10105105879 + ... + 10105106278.

Almost surely, 2^{4042042431400} is an apocalyptic number.

4042042431400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4042042431400 is an abundant number, since it is smaller than the sum of its proper divisors (5355706222070).

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

4042042431400 is a wasteful number, since it uses less digits than its factorization.

4042042431400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20210212173 (or 20210212164 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 4042042431400 its reverse (41342402404), we get a palindrome (4083384833804).

The spelling of 4042042431400 in words is "four trillion, forty-two billion, forty-two million, four hundred thirty-one thousand, four hundred".