424242242424 has 768 divisors, whose sum is σ = 1653519329280. Its totient is φ = 94650716160.

The previous prime is 424242242407. The next prime is 424242242449.

424242242424 is a `hidden beast` number, since 4 + 2 + 4 + 2 + 4 + 224 + 2 + 424 = 666.

424242242424 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 61329814 + ... + 61336730.

It is an arithmetic number, because the mean of its divisors is an integer number (2153019960).

Almost surely, 2^424242242424 is an apocalyptic number.

424242242424 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 424242242424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (826759664640).

424242242424 is an abundant number, since it is smaller than the sum of its proper divisors (1229277086856).

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

424242242424 is a wasteful number, since it uses less digits than its factorization.

424242242424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7020 (or 7013 counting only the distinct ones).

The product of its digits is 262144, while the sum is 36.

It can be divided in two parts, 424242 and 242424, that added together give a palindrome (666666).

The spelling of 424242242424 in words is "four hundred twenty-four billion, two hundred forty-two million, two hundred forty-two thousand, four hundred twenty-four".