224032421424 has 160 divisors (see below), whose sum is σ = 689807405056. Its totient is φ = 61305569280.

The previous prime is 224032421401. The next prime is 224032421429. The reversal of 224032421424 is 424124230422.

It is a happy number.

224032421424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×224032421424³ (a number of 35 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 224032421391 and 224032421400.

It is not an unprimeable number, because it can be changed into a prime (224032421429) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 899484 + ... + 1121220.

Almost surely, 2^224032421424 is an apocalyptic number.

224032421424 is a gapful number since it is divisible by the number (24) 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 224032421424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344903702528).

224032421424 is an abundant number, since it is smaller than the sum of its proper divisors (465774983632).

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

224032421424 is a wasteful number, since it uses less digits than its factorization.

224032421424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221883 (or 221877 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 30.

Adding to 224032421424 its reverse (424124230422), we get a palindrome (648156651846).

The spelling of 224032421424 in words is "two hundred twenty-four billion, thirty-two million, four hundred twenty-one thousand, four hundred twenty-four".