20442421120 has 128 divisors (see below), whose sum is σ = 56449288800. Its totient is φ = 6996295680.

The previous prime is 20442421057. The next prime is 20442421123. The reversal of 20442421120 is 2112424402.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 20442421091 and 20442421100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20442421123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34276 + ... + 205084.

Almost surely, 2^20442421120 is an apocalyptic number.

20442421120 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 20442421120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28224644400).

20442421120 is an abundant number, since it is smaller than the sum of its proper divisors (36006867680).

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

20442421120 is a wasteful number, since it uses less digits than its factorization.

20442421120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170856 (or 170844 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

Adding to 20442421120 its reverse (2112424402), we get a palindrome (22554845522).

The spelling of 20442421120 in words is "twenty billion, four hundred forty-two million, four hundred twenty-one thousand, one hundred twenty".