420404224000 has 112 divisors (see below), whose sum is σ = 1049267452896. Its totient is φ = 168161280000.

The previous prime is 420404223997. The next prime is 420404224069. The reversal of 420404224000 is 422404024.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 818725 + ... + 1229275.

Almost surely, 2^420404224000 is an apocalyptic number.

420404224000 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 420404224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524633726448).

420404224000 is an abundant number, since it is smaller than the sum of its proper divisors (628863228896).

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

420404224000 is an frugal number, since it uses more digits than its factorization.

420404224000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410592 (or 410558 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 22.

Adding to 420404224000 its reverse (422404024), we get a palindrome (420826628024).

The spelling of 420404224000 in words is "four hundred twenty billion, four hundred four million, two hundred twenty-four thousand".