8200440020 has 18 divisors (see below), whose sum is σ = 17221774542. Its totient is φ = 3280014016.

The previous prime is 8200440011. The next prime is 8200440029. The reversal of 8200440020 is 200440028.

It is an interprime number because it is at equal distance from previous prime (8200440011) and next prime (8200440029).

It can be written as a sum of positive squares in 3 ways, for example, as 100080016 + 8100360004 = 10004^2 + 90002^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 8200439974 and 8200440001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8200440029) 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, 394856 + ... + 415104.

Almost surely, 2^8200440020 is an apocalyptic number.

It is an amenable number.

8200440020 is an abundant number, since it is smaller than the sum of its proper divisors (9021334522).

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

8200440020 is an frugal number, since it uses more digits than its factorization.

8200440020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40507 (or 20256 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 8200440020 is about 90556.2809527865. The cubic root of 8200440020 is about 2016.5657442229.

Multiplying 8200440020 by its sum of digits (20), we get a square (164008800400 = 404980²).

8200440020 divided by its sum of digits (20) gives a square (410022001 = 20249²).

Adding to 8200440020 its reverse (200440028), we get a palindrome (8400880048).

The spelling of 8200440020 in words is "eight billion, two hundred million, four hundred forty thousand, twenty".