221242120440 has 64 divisors (see below), whose sum is σ = 724065125760. Its totient is φ = 53634453120.

The previous prime is 221242120433. The next prime is 221242120441. The reversal of 221242120440 is 44021242122.

It is a happy number.

221242120440 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 (24).

It is a self number, because there is not a number n which added to its sum of digits gives 221242120440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221242120441) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 83802514 + ... + 83805153.

It is an arithmetic number, because the mean of its divisors is an integer number (11313517590).

Almost surely, 2^221242120440 is an apocalyptic number.

221242120440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221242120440 is an abundant number, since it is smaller than the sum of its proper divisors (502823005320).

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

221242120440 is a wasteful number, since it uses less digits than its factorization.

221242120440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167607692 (or 167607688 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 221242120440 its reverse (44021242122), we get a palindrome (265263362562).

The spelling of 221242120440 in words is "two hundred twenty-one billion, two hundred forty-two million, one hundred twenty thousand, four hundred forty".