42424032224 has 72 divisors (see below), whose sum is σ = 98102270448. Its totient is φ = 18005137920.

The previous prime is 42424032193. The next prime is 42424032241. The reversal of 42424032224 is 42223042424.

42424032224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30164 + ... + 292844.

It is an arithmetic number, because the mean of its divisors is an integer number (1362531534).

Almost surely, 2^42424032224 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 42424032224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49051135224).

42424032224 is an abundant number, since it is smaller than the sum of its proper divisors (55678238224).

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

42424032224 is a wasteful number, since it uses less digits than its factorization.

42424032224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262808 (or 262793 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 29.

Adding to 42424032224 its reverse (42223042424), we get a palindrome (84647074648).

The spelling of 42424032224 in words is "forty-two billion, four hundred twenty-four million, thirty-two thousand, two hundred twenty-four".