221241100440 has 256 divisors, whose sum is σ = 706875724800. Its totient is φ = 55274768384.

The previous prime is 221241100433. The next prime is 221241100469. The reversal of 221241100440 is 44001142122.

221241100440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 47709802 + ... + 47714438.

It is an arithmetic number, because the mean of its divisors is an integer number (2761233300).

Almost surely, 2^221241100440 is an apocalyptic number.

221241100440 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 221241100440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353437862400).

221241100440 is an abundant number, since it is smaller than the sum of its proper divisors (485634624360).

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

221241100440 is a wasteful number, since it uses less digits than its factorization.

221241100440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5026 (or 5022 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 221241100440 its reverse (44001142122), we get a palindrome (265242242562).

The spelling of 221241100440 in words is "two hundred twenty-one billion, two hundred forty-one million, one hundred thousand, four hundred forty".