4228509404224 has 224 divisors, whose sum is σ = 9927136051200. Its totient is φ = 1749275523072.

The previous prime is 4228509404159. The next prime is 4228509404227. The reversal of 4228509404224 is 4224049058224.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×4228509404224² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4228509404227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1263371319 + ... + 1263374665.

Almost surely, 2^{4228509404224} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4228509404224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4963568025600).

4228509404224 is an abundant number, since it is smaller than the sum of its proper divisors (5698626646976).

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

4228509404224 is a wasteful number, since it uses less digits than its factorization.

4228509404224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3985 (or 3975 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 46.

The spelling of 4228509404224 in words is "four trillion, two hundred twenty-eight billion, five hundred nine million, four hundred four thousand, two hundred twenty-four".