221440240400 has 60 divisors (see below), whose sum is σ = 532490964900. Its totient is φ = 88496048640.

The previous prime is 221440240363. The next prime is 221440240433. The reversal of 221440240400 is 4042044122.

It can be written as a sum of positive squares in 6 ways, for example, as 52561981696 + 168878258704 = 229264^2 + 410948^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 194006 + ... + 693194.

It is an arithmetic number, because the mean of its divisors is an integer number (8874849415).

Almost surely, 2^221440240400 is an apocalyptic number.

221440240400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221440240400 is an abundant number, since it is smaller than the sum of its proper divisors (311050724500).

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

221440240400 is a wasteful number, since it uses less digits than its factorization.

221440240400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500316 (or 500305 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 23.

Adding to 221440240400 its reverse (4042044122), we get a palindrome (225482284522).

The spelling of 221440240400 in words is "two hundred twenty-one billion, four hundred forty million, two hundred forty thousand, four hundred".