404330124120 has 256 divisors, whose sum is σ = 1320181632000. Its totient is φ = 98472278016.

The previous prime is 404330124101. The next prime is 404330124137. The reversal of 404330124120 is 21421033404.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 164427451 + ... + 164429909.

It is an arithmetic number, because the mean of its divisors is an integer number (5156959500).

Almost surely, 2^404330124120 is an apocalyptic number.

404330124120 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 404330124120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (660090816000).

404330124120 is an abundant number, since it is smaller than the sum of its proper divisors (915851507880).

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

404330124120 is a wasteful number, since it uses less digits than its factorization.

404330124120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3562 (or 3558 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 404330124120 its reverse (21421033404), we get a palindrome (425751157524).

The spelling of 404330124120 in words is "four hundred four billion, three hundred thirty million, one hundred twenty-four thousand, one hundred twenty".