20442102400 has 96 divisors (see below), whose sum is σ = 51190724700. Its totient is φ = 8064737280.

The previous prime is 20442102379. The next prime is 20442102409. The reversal of 20442102400 is 420124402.

It can be written as a sum of positive squares in 6 ways, for example, as 14394240576 + 6047861824 = 119976^2 + 77768^2 .

It is not an unprimeable number, because it can be changed into a prime (20442102409) 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, 189846 + ... + 277354.

Almost surely, 2^20442102400 is an apocalyptic number.

20442102400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20442102400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25595362350).

20442102400 is an abundant number, since it is smaller than the sum of its proper divisors (30748622300).

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

20442102400 is an equidigital number, since it uses as much as digits as its factorization.

20442102400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87606 (or 87589 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 19.

Adding to 20442102400 its reverse (420124402), we get a palindrome (20862226802).

The spelling of 20442102400 in words is "twenty billion, four hundred forty-two million, one hundred two thousand, four hundred".