404224010000 has 100 divisors (see below), whose sum is σ = 980167808400. Its totient is φ = 161441616000.

The previous prime is 404224009957. The next prime is 404224010009. The reversal of 404224010000 is 10422404.

It is a tau number, because it is divible by the number of its divisors (100).

It is not an unprimeable number, because it can be changed into a prime (404224010009) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6559331 + ... + 6620669.

It is an arithmetic number, because the mean of its divisors is an integer number (9801678084).

Almost surely, 2^404224010000 is an apocalyptic number.

404224010000 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 404224010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (490083904200).

404224010000 is an abundant number, since it is smaller than the sum of its proper divisors (575943798400).

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

404224010000 is an equidigital number, since it uses as much as digits as its factorization.

404224010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62026 (or 62005 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

Adding to 404224010000 its reverse (10422404), we get a palindrome (404234432404).

The spelling of 404224010000 in words is "four hundred four billion, two hundred twenty-four million, ten thousand".