221222320440 has 192 divisors, whose sum is σ = 734388228000. Its totient is φ = 53269201920.

The previous prime is 221222320439. The next prime is 221222320469. The reversal of 221222320440 is 44023222122.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 221222320440.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 2112354 + ... + 2214606.

Almost surely, 2^221222320440 is an apocalyptic number.

221222320440 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 221222320440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367194114000).

221222320440 is an abundant number, since it is smaller than the sum of its proper divisors (513165907560).

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

221222320440 is a wasteful number, since it uses less digits than its factorization.

221222320440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102438 (or 102423 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 221222320440 its reverse (44023222122), we get a palindrome (265245542562).

The spelling of 221222320440 in words is "two hundred twenty-one billion, two hundred twenty-two million, three hundred twenty thousand, four hundred forty".