404202444200 has 96 divisors (see below), whose sum is σ = 966172770360. Its totient is φ = 157167206400.

The previous prime is 404202444157. The next prime is 404202444209. The reversal of 404202444200 is 2444202404.

It can be written as a sum of positive squares in 12 ways, for example, as 43138459204 + 361063984996 = 207698^2 + 600886^2 .

It is a super-2 number, since 2×404202444200² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 404202444200.

It is not an unprimeable number, because it can be changed into a prime (404202444209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2182424 + ... + 2360376.

Almost surely, 2^404202444200 is an apocalyptic number.

404202444200 is a gapful number since it is divisible by the number (40) 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 404202444200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483086385180).

404202444200 is an abundant number, since it is smaller than the sum of its proper divisors (561970326160).

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

404202444200 is a wasteful number, since it uses less digits than its factorization.

404202444200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178287 (or 178278 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 26.

Adding to 404202444200 its reverse (2444202404), we get a palindrome (406646646604).

The spelling of 404202444200 in words is "four hundred four billion, two hundred two million, four hundred forty-four thousand, two hundred".