404100120 has 64 divisors (see below), whose sum is σ = 1215900000. Its totient is φ = 107440128.

The previous prime is 404100107. The next prime is 404100127. The reversal of 404100120 is 21001404.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 404100096 and 404100105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404100127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37056 + ... + 46704.

Almost surely, 2^404100120 is an apocalyptic number.

404100120 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 404100120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (607950000).

404100120 is an abundant number, since it is smaller than the sum of its proper divisors (811799880).

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

404100120 is a wasteful number, since it uses less digits than its factorization.

404100120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10012 (or 10008 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 404100120 is about 20102.2416660431. The cubic root of 404100120 is about 739.3152418901.

Adding to 404100120 its reverse (21001404), we get a palindrome (425101524).

The spelling of 404100120 in words is "four hundred four million, one hundred thousand, one hundred twenty".