221323022440 has 256 divisors, whose sum is σ = 591730272000. Its totient is φ = 73713991680.

The previous prime is 221323022429. The next prime is 221323022441. The reversal of 221323022440 is 44220323122.

It is not an unprimeable number, because it can be changed into a prime (221323022441) 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 63 ways as a sum of consecutive naturals, for example, 35630935 + ... + 35637145.

It is an arithmetic number, because the mean of its divisors is an integer number (2311446375).

Almost surely, 2^221323022440 is an apocalyptic number.

221323022440 is a gapful number since it is divisible by the number (20) 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 221323022440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295865136000).

221323022440 is an abundant number, since it is smaller than the sum of its proper divisors (370407249560).

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

221323022440 is a wasteful number, since it uses less digits than its factorization.

221323022440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6420 (or 6416 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 221323022440 its reverse (44220323122), we get a palindrome (265543345562).

The spelling of 221323022440 in words is "two hundred twenty-one billion, three hundred twenty-three million, twenty-two thousand, four hundred forty".