424424424424 has 256 divisors, whose sum is σ = 1099530754560. Its totient is φ = 148262400000.

The previous prime is 424424424407. The next prime is 424424424439.

424424424424 is nontrivially palindromic in base 10.

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

424424424424 is a modest number, since divided by 424424424 gives 424 as remainder.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 42861874 + ... + 42871774.

It is an arithmetic number, because the mean of its divisors is an integer number (4295042010).

Almost surely, 2^424424424424 is an apocalyptic number.

424424424424 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 424424424424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (549765377280).

424424424424 is an abundant number, since it is smaller than the sum of its proper divisors (675106330136).

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

424424424424 is a wasteful number, since it uses less digits than its factorization.

424424424424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10092 (or 10088 counting only the distinct ones).

The product of its digits is 1048576, while the sum is 40.

It can be divided in two parts, 424424 and 424424, that added together give a palindrome (848848).

The spelling of 424424424424 in words is "four hundred twenty-four billion, four hundred twenty-four million, four hundred twenty-four thousand, four hundred twenty-four".