404000072100 has 81 divisors (see below), whose sum is σ = 1266375552897. Its totient is φ = 107728267680.

The previous prime is 404000072087. The next prime is 404000072107. The reversal of 404000072100 is 1270000404.

It is a happy number.

The square root of 404000072100 is 635610.

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

It can be written as a sum of positive squares in only one way, i.e., 145440025956 + 258560046144 = 381366^2 + 508488^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (404000072107) 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 26 ways as a sum of consecutive naturals, for example, 19057707 + ... + 19078893.

Almost surely, 2^404000072100 is an apocalyptic number.

404000072100 is the 635610-th square number.

It is an amenable number.

404000072100 is an abundant number, since it is smaller than the sum of its proper divisors (862375480797).

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

404000072100 is an equidigital number, since it uses as much as digits as its factorization.

404000072100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42394 (or 21197 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

Adding to 404000072100 its reverse (1270000404), we get a palindrome (405270072504).

The spelling of 404000072100 in words is "four hundred four billion, seventy-two thousand, one hundred".