221041434144 has 48 divisors (see below), whose sum is σ = 580279291200. Its totient is φ = 73674696960.

The previous prime is 221041434143. The next prime is 221041434149. The reversal of 221041434144 is 441434140122.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (221041434143) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1241274 + ... + 1408134.

It is an arithmetic number, because the mean of its divisors is an integer number (12089151900).

Almost surely, 2^221041434144 is an apocalyptic number.

221041434144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

221041434144 is an abundant number, since it is smaller than the sum of its proper divisors (359237857056).

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

221041434144 is a wasteful number, since it uses less digits than its factorization.

221041434144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180673 (or 180665 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 221041434144 its reverse (441434140122), we get a palindrome (662475574266).

The spelling of 221041434144 in words is "two hundred twenty-one billion, forty-one million, four hundred thirty-four thousand, one hundred forty-four".