420221000000 has 98 divisors (see below), whose sum is σ = 1042334197014. Its totient is φ = 168088000000.

The previous prime is 420220999993. The next prime is 420221000051. The reversal of 420221000000 is 122024.

It can be written as a sum of positive squares in 7 ways, for example, as 384578580736 + 35642419264 = 620144^2 + 188792^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 789890 + ... + 1210110.

Almost surely, 2^420221000000 is an apocalyptic number.

420221000000 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 420221000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (521167098507).

420221000000 is an abundant number, since it is smaller than the sum of its proper divisors (622113197014).

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

420221000000 is an frugal number, since it uses more digits than its factorization.

420221000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420263 (or 420228 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

Adding to 420221000000 its reverse (122024), we get a palindrome (420221122024).

The spelling of 420221000000 in words is "four hundred twenty billion, two hundred twenty-one million", and thus it is an aban number.