20440420900 has 135 divisors (see below), whose sum is σ = 48801148879. Its totient is φ = 7429864960.

The previous prime is 20440420879. The next prime is 20440420921. The reversal of 20440420900 is 902404402.

The square root of 20440420900 is 142970.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (20440420879) and next prime (20440420921).

It can be written as a sum of positive squares in 22 ways, for example, as 19615122916 + 825297984 = 140054^2 + 28728^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 704842086 + ... + 704842114.

Almost surely, 2^20440420900 is an apocalyptic number.

20440420900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

20440420900 is the 142970-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20440420900

20440420900 is an abundant number, since it is smaller than the sum of its proper divisors (28360727979).

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

20440420900 is an frugal number, since it uses more digits than its factorization.

20440420900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Multiplying 20440420900 by its sum of digits (25), we get a square (511010522500 = 714850²).

20440420900 divided by its sum of digits (25) gives a square (817616836 = 28594²).

Multiplying 20440420900 by its product of nonzero digits (2304), we get a square (47094729753600 = 6862560²).

The spelling of 20440420900 in words is "twenty billion, four hundred forty million, four hundred twenty thousand, nine hundred".