424164461424 has 160 divisors (see below), whose sum is σ = 1283517135360. Its totient is φ = 119269785600.

The previous prime is 424164461411. The next prime is 424164461437.

424164461424 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (424164461411) and next prime (424164461437).

It is a super-2 number, since 2×424164461424² (a number of 24 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 304512 + ... + 970080.

It is an arithmetic number, because the mean of its divisors is an integer number (8021982096).

Almost surely, 2^424164461424 is an apocalyptic number.

424164461424 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 424164461424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (641758567680).

424164461424 is an abundant number, since it is smaller than the sum of its proper divisors (859352673936).

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

424164461424 is a wasteful number, since it uses less digits than its factorization.

424164461424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 665679 (or 665673 counting only the distinct ones).

The product of its digits is 589824, while the sum is 42.

It can be divided in two parts, 424164 and 461424, that added together give a palindrome (885588).

The spelling of 424164461424 in words is "four hundred twenty-four billion, one hundred sixty-four million, four hundred sixty-one thousand, four hundred twenty-four".