2004424020400 has 30 divisors (see below), whose sum is σ = 4815628709972. Its totient is φ = 801769608000.

The previous prime is 2004424020359. The next prime is 2004424020421. The reversal of 2004424020400 is 40204244002.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2505529626 + ... + 2505530425.

Almost surely, 2^{2004424020400} is an apocalyptic number.

2004424020400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2004424020400 is an abundant number, since it is smaller than the sum of its proper divisors (2811204689572).

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

2004424020400 is a wasteful number, since it uses less digits than its factorization.

2004424020400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5011060069 (or 5011060058 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 22.

Adding to 2004424020400 its reverse (40204244002), we get a palindrome (2044628264402).

The spelling of 2004424020400 in words is "two trillion, four billion, four hundred twenty-four million, twenty thousand, four hundred".