422440020100 has 108 divisors (see below), whose sum is σ = 1067045181300. Its totient is φ = 144743424000.

The previous prime is 422440020089. The next prime is 422440020139. The reversal of 422440020100 is 1020044224.

It can be written as a sum of positive squares in 6 ways, for example, as 133486468164 + 288953551936 = 365358^2 + 537544^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7817976 + ... + 7871824.

It is an arithmetic number, because the mean of its divisors is an integer number (9880047975).

Almost surely, 2^422440020100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 422440020100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (533522590650).

422440020100 is an abundant number, since it is smaller than the sum of its proper divisors (644605161200).

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

422440020100 is a wasteful number, since it uses less digits than its factorization.

422440020100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55478 (or 55464 counting only the distinct ones).

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

Adding to 422440020100 its reverse (1020044224), we get a palindrome (423460064324).

The spelling of 422440020100 in words is "four hundred twenty-two billion, four hundred forty million, twenty thousand, one hundred".