4242002424 has 128 divisors (see below), whose sum is σ = 12193390080. Its totient is φ = 1217216000.

The previous prime is 4242002411. The next prime is 4242002441.

4242002424 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 4242002394 and 4242002403.

It is a congruent number.

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, 609814 + ... + 616730.

It is an arithmetic number, because the mean of its divisors is an integer number (95260860).

Almost surely, 2^4242002424 is an apocalyptic number.

4242002424 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 4242002424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6096695040).

4242002424 is an abundant number, since it is smaller than the sum of its proper divisors (7951387656).

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

4242002424 is a wasteful number, since it uses less digits than its factorization.

4242002424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7061 (or 7057 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

The square root of 4242002424 is about 65130.6565604862. The cubic root of 4242002424 is about 1618.7892218023.

It can be divided in two parts, 424200 and 2424, that added together give a palindrome (426624).

The spelling of 4242002424 in words is "four billion, two hundred forty-two million, two thousand, four hundred twenty-four".