420221324000 has 192 divisors, whose sum is σ = 1039219009920. Its totient is φ = 166996684800.

The previous prime is 420221323979. The next prime is 420221324009. The reversal of 420221324000 is 423122024.

It is a super-2 number, since 2×420221324000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420221324009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 649491677 + ... + 649492323.

It is an arithmetic number, because the mean of its divisors is an integer number (5412599010).

Almost surely, 2^420221324000 is an apocalyptic number.

420221324000 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 420221324000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (519609504960).

420221324000 is an abundant number, since it is smaller than the sum of its proper divisors (618997685920).

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

420221324000 is a wasteful number, since it uses less digits than its factorization.

420221324000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1478 (or 1460 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 420221324000 its reverse (423122024), we get a palindrome (420644446024).

The spelling of 420221324000 in words is "four hundred twenty billion, two hundred twenty-one million, three hundred twenty-four thousand".