404001122220 has 144 divisors (see below), whose sum is σ = 1272552240960. Its totient is φ = 103622819328.

The previous prime is 404001122197. The next prime is 404001122227. The reversal of 404001122220 is 22221100404.

404001122220 is a `hidden beast` number, since 40 + 400 + 1 + 1 + 2 + 2 + 220 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 404001122193 and 404001122202.

It is not an unprimeable number, because it can be changed into a prime (404001122227) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1225722 + ... + 1519998.

It is an arithmetic number, because the mean of its divisors is an integer number (8837168340).

Almost surely, 2^404001122220 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 404001122220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (636276120480).

404001122220 is an abundant number, since it is smaller than the sum of its proper divisors (868551118740).

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

404001122220 is a wasteful number, since it uses less digits than its factorization.

404001122220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294584 (or 294579 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 404001122220 its reverse (22221100404), we get a palindrome (426222222624).

The spelling of 404001122220 in words is "four hundred four billion, one million, one hundred twenty-two thousand, two hundred twenty".