42242424224 has 288 divisors, whose sum is σ = 113717374848. Its totient is φ = 15028992000.

The previous prime is 42242424187. The next prime is 42242424229.

42242424224 is nontrivially palindromic in base 10.

42242424224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (32).

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

It is not an unprimeable number, because it can be changed into a prime (42242424229) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35586959 + ... + 35588145.

It is an arithmetic number, because the mean of its divisors is an integer number (394851996).

Almost surely, 2^42242424224 is an apocalyptic number.

42242424224 is a gapful number since it is divisible by the number (44) 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 42242424224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56858687424).

42242424224 is an abundant number, since it is smaller than the sum of its proper divisors (71474950624).

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

42242424224 is a wasteful number, since it uses less digits than its factorization.

42242424224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1340 (or 1321 counting only the distinct ones).

The product of its digits is 65536, while the sum is 32.

The spelling of 42242424224 in words is "forty-two billion, two hundred forty-two million, four hundred twenty-four thousand, two hundred twenty-four".