221300321141440 has 112 divisors (see below), whose sum is σ = 529093757985120. Its totient is φ = 88163818496000.

The previous prime is 221300321141411. The next prime is 221300321141443. The reversal of 221300321141440 is 44141123003122.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 221300321141399 and 221300321141408.

It is not an unprimeable number, because it can be changed into a prime (221300321141443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 279450684 + ... + 280241476.

Almost surely, 2^{221300321141440} is an apocalyptic number.

221300321141440 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 221300321141440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264546878992560).

221300321141440 is an abundant number, since it is smaller than the sum of its proper divisors (307793436843680).

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

221300321141440 is a wasteful number, since it uses less digits than its factorization.

221300321141440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 794330 (or 794320 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 221300321141440 its reverse (44141123003122), we get a palindrome (265441444144562).

The spelling of 221300321141440 in words is "two hundred twenty-one trillion, three hundred billion, three hundred twenty-one million, one hundred forty-one thousand, four hundred forty".