221242416400 has 30 divisors (see below), whose sum is σ = 531534906362. Its totient is φ = 88496966400.

The previous prime is 221242416391. The next prime is 221242416401. The reversal of 221242416400 is 4614242122.

221242416400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 123904 + 221242292496 = 352^2 + 470364^2 .

It is not an unprimeable number, because it can be changed into a prime (221242416401) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 276552621 + ... + 276553420.

Almost surely, 2^221242416400 is an apocalyptic number.

221242416400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221242416400 is an abundant number, since it is smaller than the sum of its proper divisors (310292489962).

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

221242416400 is a wasteful number, since it uses less digits than its factorization.

221242416400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 553106059 (or 553106048 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 221242416400 its reverse (4614242122), we get a palindrome (225856658522).

The spelling of 221242416400 in words is "two hundred twenty-one billion, two hundred forty-two million, four hundred sixteen thousand, four hundred".