221242343440 has 40 divisors (see below), whose sum is σ = 514467975960. Its totient is φ = 88483255296.

The previous prime is 221242343437. The next prime is 221242343461. The reversal of 221242343440 is 44343242122.

It can be written as a sum of positive squares in 4 ways, for example, as 36727422736 + 184514920704 = 191644^2 + 429552^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×221242343440² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 315022 + ... + 736018.

It is an arithmetic number, because the mean of its divisors is an integer number (12861699399).

Almost surely, 2^221242343440 is an apocalyptic number.

221242343440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221242343440 is an abundant number, since it is smaller than the sum of its proper divisors (293225632520).

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

221242343440 is a wasteful number, since it uses less digits than its factorization.

221242343440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427579 (or 427573 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 31.

Adding to 221242343440 its reverse (44343242122), we get a palindrome (265585585562).

The spelling of 221242343440 in words is "two hundred twenty-one billion, two hundred forty-two million, three hundred forty-three thousand, four hundred forty".