221440513440000 has 720 divisors, whose sum is σ = 741485919303360. Its totient is φ = 58648719360000.

The previous prime is 221440513439969. The next prime is 221440513440017. The reversal of 221440513440000 is 44315044122.

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 221440513440000.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 65340958306 + ... + 65340961694.

It is an arithmetic number, because the mean of its divisors is an integer number (1029841554588).

Almost surely, 2^{221440513440000} is an apocalyptic number.

221440513440000 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 221440513440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370742959651680).

221440513440000 is an abundant number, since it is smaller than the sum of its proper divisors (520045405863360).

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

221440513440000 is an equidigital number, since it uses as much as digits as its factorization.

221440513440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4316 (or 4287 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 221440513440000 its reverse (44315044122), we get a palindrome (221484828484122).

The spelling of 221440513440000 in words is "two hundred twenty-one trillion, four hundred forty billion, five hundred thirteen million, four hundred forty thousand".