432221021441220 has 192 divisors, whose sum is σ = 1321156318003200. Its totient is φ = 104708046144000.

The previous prime is 432221021441207. The next prime is 432221021441347. The reversal of 432221021441220 is 22144120122234.

It is a super-2 number, since 2×432221021441220² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13037931645 + ... + 13037964795.

It is an arithmetic number, because the mean of its divisors is an integer number (6881022489600).

Almost surely, 2^{432221021441220} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 432221021441220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (660578159001600).

432221021441220 is an abundant number, since it is smaller than the sum of its proper divisors (888935296561980).

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

432221021441220 is a wasteful number, since it uses less digits than its factorization.

432221021441220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46306 (or 46304 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 432221021441220 its reverse (22144120122234), we get a palindrome (454365141563454).

The spelling of 432221021441220 in words is "four hundred thirty-two trillion, two hundred twenty-one billion, twenty-one million, four hundred forty-one thousand, two hundred twenty".