221055133440000 has 480 divisors, whose sum is σ = 741812017106160. Its totient is φ = 58517618688000.

The previous prime is 221055133439981. The next prime is 221055133440133. The reversal of 221055133440000 is 44331550122.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 221055133440000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 525869904 + ... + 526290096.

Almost surely, 2^{221055133440000} is an apocalyptic number.

221055133440000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221055133440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370906008553080).

221055133440000 is an abundant number, since it is smaller than the sum of its proper divisors (520756883666160).

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

221055133440000 is an equidigital number, since it uses as much as digits as its factorization.

221055133440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420375 (or 420340 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 221055133440000 its reverse (44331550122), we get a palindrome (221099464990122).

The spelling of 221055133440000 in words is "two hundred twenty-one trillion, fifty-five billion, one hundred thirty-three million, four hundred forty thousand".