221311104204400 has 120 divisors (see below), whose sum is σ = 607668519788064. Its totient is φ = 75876661939200.

The previous prime is 221311104204349. The next prime is 221311104204401. The reversal of 221311104204400 is 4402401113122.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221311104204401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 153453054 + ... + 154888546.

Almost surely, 2^{221311104204400} is an apocalyptic number.

221311104204400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221311104204400 is an abundant number, since it is smaller than the sum of its proper divisors (386357415583664).

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

221311104204400 is a wasteful number, since it uses less digits than its factorization.

221311104204400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1490579 (or 1490568 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 221311104204400 its reverse (4402401113122), we get a palindrome (225713505317522).

The spelling of 221311104204400 in words is "two hundred twenty-one trillion, three hundred eleven billion, one hundred four million, two hundred four thousand, four hundred".