404021120 has 128 divisors (see below), whose sum is σ = 1010607840. Its totient is φ = 154312704.

The previous prime is 404021119. The next prime is 404021129. The reversal of 404021120 is 21120404.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 404021095 and 404021104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404021129) 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, 1458422 + ... + 1458698.

Almost surely, 2^404021120 is an apocalyptic number.

404021120 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 404021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (505303920).

404021120 is an abundant number, since it is smaller than the sum of its proper divisors (606586720).

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

404021120 is a wasteful number, since it uses less digits than its factorization.

404021120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392 (or 380 counting only the distinct ones).

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

The square root of 404021120 is about 20100.2766150120. The cubic root of 404021120 is about 739.2670609999.

Adding to 404021120 its reverse (21120404), we get a palindrome (425141524).

The spelling of 404021120 in words is "four hundred four million, twenty-one thousand, one hundred twenty".