221133040400 has 60 divisors (see below), whose sum is σ = 531357657600. Its totient is φ = 88438976640.

The previous prime is 221133040333. The next prime is 221133040451. The reversal of 221133040400 is 4040331122.

221133040400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×221133040400³ (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2646461 + ... + 2728739.

It is an arithmetic number, because the mean of its divisors is an integer number (8855960960).

Almost surely, 2^221133040400 is an apocalyptic number.

221133040400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221133040400 is an abundant number, since it is smaller than the sum of its proper divisors (310224617200).

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

221133040400 is a wasteful number, since it uses less digits than its factorization.

221133040400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89016 (or 89005 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 221133040400 its reverse (4040331122), we get a palindrome (225173371522).

The spelling of 221133040400 in words is "two hundred twenty-one billion, one hundred thirty-three million, forty thousand, four hundred".