424414414424 has 288 divisors, whose sum is σ = 1097509764960. Its totient is φ = 150515988480.

The previous prime is 424414414387. The next prime is 424414414469.

424414414424 is nontrivially palindromic in base 10.

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 71 ways as a sum of consecutive naturals, for example, 83592974 + ... + 83598050.

It is an arithmetic number, because the mean of its divisors is an integer number (3810797795).

Almost surely, 2^424414414424 is an apocalyptic number.

424414414424 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 424414414424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548754882480).

424414414424 is an abundant number, since it is smaller than the sum of its proper divisors (673095350536).

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

424414414424 is a wasteful number, since it uses less digits than its factorization.

424414414424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5211 (or 5183 counting only the distinct ones).

The product of its digits is 262144, while the sum is 38.

It can be divided in two parts, 424414 and 414424, that added together give a palindrome (838838).

The spelling of 424414414424 in words is "four hundred twenty-four billion, four hundred fourteen million, four hundred fourteen thousand, four hundred twenty-four".