20000424042400 has 72 divisors (see below), whose sum is σ = 48831114257100. Its totient is φ = 7999337410560.

The previous prime is 20000424042349. The next prime is 20000424042407. The reversal of 20000424042400 is 424042400002.

It can be written as a sum of positive squares in 6 ways, for example, as 9917284285584 + 10083139756816 = 3149172^2 + 3175396^2 .

It is not an unprimeable number, because it can be changed into a prime (20000424042407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6423702 + ... + 9014698.

Almost surely, 2^{20000424042400} is an apocalyptic number.

20000424042400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20000424042400 is an abundant number, since it is smaller than the sum of its proper divisors (28830690214700).

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

20000424042400 is a wasteful number, since it uses less digits than its factorization.

20000424042400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2600666 (or 2600653 counting only the distinct ones).

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

Adding to 20000424042400 its reverse (424042400002), we get a palindrome (20424466442402).

The spelling of 20000424042400 in words is "twenty trillion, four hundred twenty-four million, forty-two thousand, four hundred".