4042424004400 has 60 divisors (see below), whose sum is σ = 9713861989312. Its totient is φ = 1616646885120.

The previous prime is 4042424004373. The next prime is 4042424004439. The reversal of 4042424004400 is 44004242404.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1003222 + ... + 3015178.

Almost surely, 2^{4042424004400} is an apocalyptic number.

4042424004400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4042424004400 is an abundant number, since it is smaller than the sum of its proper divisors (5671437984912).

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

4042424004400 is a wasteful number, since it uses less digits than its factorization.

4042424004400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2016998 (or 2016987 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 28.

Adding to 4042424004400 its reverse (44004242404), we get a palindrome (4086428246804).

The spelling of 4042424004400 in words is "four trillion, forty-two billion, four hundred twenty-four million, four thousand, four hundred".