221434310440 has 256 divisors, whose sum is σ = 602017920000. Its totient is φ = 73219829760.

The previous prime is 221434310431. The next prime is 221434310479. The reversal of 221434310440 is 44013434122.

221434310440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 221434310399 and 221434310408.

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 63 ways as a sum of consecutive naturals, for example, 50062069 + ... + 50066491.

It is an arithmetic number, because the mean of its divisors is an integer number (2351632500).

Almost surely, 2^221434310440 is an apocalyptic number.

221434310440 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 221434310440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301008960000).

221434310440 is an abundant number, since it is smaller than the sum of its proper divisors (380583609560).

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

221434310440 is a wasteful number, since it uses less digits than its factorization.

221434310440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4585 (or 4567 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 221434310440 its reverse (44013434122), we get a palindrome (265447744562).

The spelling of 221434310440 in words is "two hundred twenty-one billion, four hundred thirty-four million, three hundred ten thousand, four hundred forty".