20004024240400 has 30 divisors (see below), whose sum is σ = 48059668238522. Its totient is φ = 8001609696000.

The previous prime is 20004024240391. The next prime is 20004024240401. The reversal of 20004024240400 is 404242040002.

It can be written as a sum of positive squares in 3 ways, for example, as 54866503696 + 19949157736704 = 234236^2 + 4466448^2 .

It is not an unprimeable number, because it can be changed into a prime (20004024240401) 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, 25005029901 + ... + 25005030700.

Almost surely, 2^{20004024240400} is an apocalyptic number.

20004024240400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20004024240400 is an abundant number, since it is smaller than the sum of its proper divisors (28055643998122).

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

20004024240400 is a wasteful number, since it uses less digits than its factorization.

20004024240400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50010060619 (or 50010060608 counting only the distinct ones).

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

Adding to 20004024240400 its reverse (404242040002), we get a palindrome (20408266280402).

The spelling of 20004024240400 in words is "twenty trillion, four billion, twenty-four million, two hundred forty thousand, four hundred".