221443200240400 has 60 divisors (see below), whose sum is σ = 544993320046644. Its totient is φ = 86416858624000.

The previous prime is 221443200240391. The next prime is 221443200240461. The reversal of 221443200240400 is 4042002344122.

It can be written as a sum of positive squares in 6 ways, for example, as 59925434287104 + 161517765953296 = 7741152^2 + 12708964^2 .

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, 6751300681 + ... + 6751333480.

Almost surely, 2^{221443200240400} is an apocalyptic number.

221443200240400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221443200240400 is an abundant number, since it is smaller than the sum of its proper divisors (323550119806244).

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

221443200240400 is a wasteful number, since it uses less digits than its factorization.

221443200240400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13502634220 (or 13502634209 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 221443200240400 its reverse (4042002344122), we get a palindrome (225485202584522).

The spelling of 221443200240400 in words is "two hundred twenty-one trillion, four hundred forty-three billion, two hundred million, two hundred forty thousand, four hundred".