424256652424 has 96 divisors (see below), whose sum is σ = 969751375200. Its totient is φ = 171947312640.

The previous prime is 424256652419. The next prime is 424256652451.

424256652424 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 147267 + ... + 932845.

It is an arithmetic number, because the mean of its divisors is an integer number (10101576825).

Almost surely, 2^424256652424 is an apocalyptic number.

424256652424 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 424256652424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484875687600).

424256652424 is an abundant number, since it is smaller than the sum of its proper divisors (545494722776).

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

424256652424 is a wasteful number, since it uses less digits than its factorization.

424256652424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 785651 (or 785628 counting only the distinct ones).

The product of its digits is 3686400, while the sum is 46.

The spelling of 424256652424 in words is "four hundred twenty-four billion, two hundred fifty-six million, six hundred fifty-two thousand, four hundred twenty-four".