221234424400 has 120 divisors (see below), whose sum is σ = 584263060128. Its totient is φ = 79834560000.

The previous prime is 221234424343. The next prime is 221234424409. The reversal of 221234424400 is 4424432122.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221234424409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 384490 + ... + 768310.

Almost surely, 2^221234424400 is an apocalyptic number.

221234424400 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 221234424400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292131530064).

221234424400 is an abundant number, since it is smaller than the sum of its proper divisors (363028635728).

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

221234424400 is a wasteful number, since it uses less digits than its factorization.

221234424400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383981 (or 383970 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 221234424400 its reverse (4424432122), we get a palindrome (225658856522).

The spelling of 221234424400 in words is "two hundred twenty-one billion, two hundred thirty-four million, four hundred twenty-four thousand, four hundred".