4242332424 has 128 divisors (see below), whose sum is σ = 12040980480. Its totient is φ = 1234272000.

The previous prime is 4242332383. The next prime is 4242332441.

4242332424 is nontrivially palindromic in base 10.

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 = 4242332391 and 4242332400.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 654399 + ... + 660849.

It is an arithmetic number, because the mean of its divisors is an integer number (94070160).

Almost surely, 2^4242332424 is an apocalyptic number.

4242332424 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 4242332424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6020490240).

4242332424 is an abundant number, since it is smaller than the sum of its proper divisors (7798648056).

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

4242332424 is a wasteful number, since it uses less digits than its factorization.

4242332424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6571 (or 6567 counting only the distinct ones).

The product of its digits is 36864, while the sum is 30.

The square root of 4242332424 is about 65133.1898804289. The cubic root of 4242332424 is about 1618.8311977795.

It can be divided in two parts, 42423 and 32424, that added together give a palindrome (74847).

The spelling of 4242332424 in words is "four billion, two hundred forty-two million, three hundred thirty-two thousand, four hundred twenty-four".