404220101000 has 256 divisors, whose sum is σ = 1055310197760. Its totient is φ = 144133017600.

The previous prime is 404220100997. The next prime is 404220101041. The reversal of 404220101000 is 101022404.

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 63 ways as a sum of consecutive naturals, for example, 40267982 + ... + 40278018.

It is an arithmetic number, because the mean of its divisors is an integer number (4122305460).

Almost surely, 2^404220101000 is an apocalyptic number.

404220101000 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 404220101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (527655098880).

404220101000 is an abundant number, since it is smaller than the sum of its proper divisors (651090096760).

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

404220101000 is a wasteful number, since it uses less digits than its factorization.

404220101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10201 (or 10187 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 404220101000 its reverse (101022404), we get a palindrome (404321123404).

The spelling of 404220101000 in words is "four hundred four billion, two hundred twenty million, one hundred one thousand".