24234221424 has 160 divisors (see below), whose sum is σ = 72155381760. Its totient is φ = 6865641216.

The previous prime is 24234221371. The next prime is 24234221509. The reversal of 24234221424 is 42412243242.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 24234221391 and 24234221400.

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 31 ways as a sum of consecutive naturals, for example, 24652837 + ... + 24653819.

It is an arithmetic number, because the mean of its divisors is an integer number (450971136).

Almost surely, 2^24234221424 is an apocalyptic number.

24234221424 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 24234221424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36077690880).

24234221424 is an abundant number, since it is smaller than the sum of its proper divisors (47921160336).

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

24234221424 is a wasteful number, since it uses less digits than its factorization.

24234221424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1547 (or 1541 counting only the distinct ones).

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

Adding to 24234221424 its reverse (42412243242), we get a palindrome (66646464666).

The spelling of 24234221424 in words is "twenty-four billion, two hundred thirty-four million, two hundred twenty-one thousand, four hundred twenty-four".