221443420024400 has 240 divisors, whose sum is σ = 618228761600640. Its totient is φ = 74649706444800.

The previous prime is 221443420024397. The next prime is 221443420024403. The reversal of 221443420024400 is 4420024344122.

It is an interprime number because it is at equal distance from previous prime (221443420024397) and next prime (221443420024403).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221443420024403) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 440241842 + ... + 440744558.

It is an arithmetic number, because the mean of its divisors is an integer number (2575953173336).

Almost surely, 2^{221443420024400} is an apocalyptic number.

221443420024400 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 221443420024400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309114380800320).

221443420024400 is an abundant number, since it is smaller than the sum of its proper divisors (396785341576240).

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

221443420024400 is a wasteful number, since it uses less digits than its factorization.

221443420024400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505382 (or 505371 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 32.

Adding to 221443420024400 its reverse (4420024344122), we get a palindrome (225863444368522).

The spelling of 221443420024400 in words is "two hundred twenty-one trillion, four hundred forty-three billion, four hundred twenty million, twenty-four thousand, four hundred".