205502221440 has 192 divisors, whose sum is σ = 710313589440. Its totient is φ = 54747408384.

The previous prime is 205502221411. The next prime is 205502221459. The reversal of 205502221440 is 44122205502.

It is a tau number, because it is divible by the number of its divisors (192).

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 23 ways as a sum of consecutive naturals, for example, 6106099 + ... + 6139661.

It is an arithmetic number, because the mean of its divisors is an integer number (3699549945).

Almost surely, 2^205502221440 is an apocalyptic number.

205502221440 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 205502221440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355156794720).

205502221440 is an abundant number, since it is smaller than the sum of its proper divisors (504811368000).

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

205502221440 is a wasteful number, since it uses less digits than its factorization.

205502221440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34651 (or 34636 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

Adding to 205502221440 its reverse (44122205502), we get a palindrome (249624426942).

The spelling of 205502221440 in words is "two hundred five billion, five hundred two million, two hundred twenty-one thousand, four hundred forty".