221221200040 has 32 divisors (see below), whose sum is σ = 497797924680. Its totient is φ = 88479551232.

The previous prime is 221221200037. The next prime is 221221200089. The reversal of 221221200040 is 40002122122.

It can be written as a sum of positive squares in 4 ways, for example, as 195471862884 + 25749337156 = 442122^2 + 160466^2 .

It is a junction number, because it is equal to n+sod(n) for n = 221221199987 and 221221200023.

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 7 ways as a sum of consecutive naturals, for example, 129742 + ... + 677698.

Almost surely, 2^221221200040 is an apocalyptic number.

221221200040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221221200040 is an abundant number, since it is smaller than the sum of its proper divisors (276576724640).

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

221221200040 is a wasteful number, since it uses less digits than its factorization.

221221200040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 558061 (or 558057 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 221221200040 its reverse (40002122122), we get a palindrome (261223322162).

The spelling of 221221200040 in words is "two hundred twenty-one billion, two hundred twenty-one million, two hundred thousand, forty".