414024420320 has 144 divisors (see below), whose sum is σ = 1134813304800. Its totient is φ = 139830856704.

The previous prime is 414024420283. The next prime is 414024420343. The reversal of 414024420320 is 23024420414.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 414024420320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4986506 + ... + 5068854.

It is an arithmetic number, because the mean of its divisors is an integer number (7880647950).

Almost surely, 2^414024420320 is an apocalyptic number.

414024420320 is a gapful number since it is divisible by the number (40) 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 414024420320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (567406652400).

414024420320 is an abundant number, since it is smaller than the sum of its proper divisors (720788884480).

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

414024420320 is an equidigital number, since it uses as much as digits as its factorization.

414024420320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82505 (or 82430 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

Adding to 414024420320 its reverse (23024420414), we get a palindrome (437048840734).

The spelling of 414024420320 in words is "four hundred fourteen billion, twenty-four million, four hundred twenty thousand, three hundred twenty".