266420441100 has 144 divisors (see below), whose sum is σ = 841109915520. Its totient is φ = 64572172800.

The previous prime is 266420441047. The next prime is 266420441107. The reversal of 266420441100 is 1144024662.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (266420441107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24840339 + ... + 24851061.

It is an arithmetic number, because the mean of its divisors is an integer number (5841041080).

Almost surely, 2^266420441100 is an apocalyptic number.

266420441100 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 266420441100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420554957760).

266420441100 is an abundant number, since it is smaller than the sum of its proper divisors (574689474420).

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

266420441100 is a wasteful number, since it uses less digits than its factorization.

266420441100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18280 (or 18273 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 266420441100 its reverse (1144024662), we get a palindrome (267564465762).

The spelling of 266420441100 in words is "two hundred sixty-six billion, four hundred twenty million, four hundred forty-one thousand, one hundred".