404133233220 has 144 divisors (see below), whose sum is σ = 1279720391040. Its totient is φ = 103038870528.

The previous prime is 404133233219. The next prime is 404133233233. The reversal of 404133233220 is 22332331404.

404133233220 is a `hidden beast` number, since 4 + 0 + 4 + 1 + 332 + 3 + 322 + 0 = 666.

It is an unprimeable number.

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, 10193596 + ... + 10233164.

It is an arithmetic number, because the mean of its divisors is an integer number (8886947160).

Almost surely, 2^404133233220 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 404133233220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (639860195520).

404133233220 is an abundant number, since it is smaller than the sum of its proper divisors (875587157820).

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

404133233220 is a wasteful number, since it uses less digits than its factorization.

404133233220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42074 (or 42069 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 404133233220 its reverse (22332331404), we get a palindrome (426465564624).

The spelling of 404133233220 in words is "four hundred four billion, one hundred thirty-three million, two hundred thirty-three thousand, two hundred twenty".