404232220000 has 240 divisors, whose sum is σ = 1196365040640. Its totient is φ = 131298624000.

The previous prime is 404232219971. The next prime is 404232220031. The reversal of 404232220000 is 22232404.

It is a super-2 number, since 2×404232220000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a self number, because there is not a number n which added to its sum of digits gives 404232220000.

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 39 ways as a sum of consecutive naturals, for example, 2584017 + ... + 2735983.

It is an arithmetic number, because the mean of its divisors is an integer number (4984854336).

Almost surely, 2^404232220000 is an apocalyptic number.

404232220000 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 404232220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (598182520320).

404232220000 is an abundant number, since it is smaller than the sum of its proper divisors (792132820640).

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

404232220000 is a wasteful number, since it uses less digits than its factorization.

404232220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152023 (or 152000 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 19.

Adding to 404232220000 its reverse (22232404), we get a palindrome (404254452404).

The spelling of 404232220000 in words is "four hundred four billion, two hundred thirty-two million, two hundred twenty thousand".