221452414400 has 336 divisors, whose sum is σ = 640615789632. Its totient is φ = 73764864000.

The previous prime is 221452414367. The next prime is 221452414411. The reversal of 221452414400 is 4414254122.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 127197530 + ... + 127199270.

It is an arithmetic number, because the mean of its divisors is an integer number (1906594612).

Almost surely, 2^221452414400 is an apocalyptic number.

221452414400 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 221452414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320307894816).

221452414400 is an abundant number, since it is smaller than the sum of its proper divisors (419163375232).

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

221452414400 is a wasteful number, since it uses less digits than its factorization.

221452414400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2088 (or 2073 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 29.

Adding to 221452414400 its reverse (4414254122), we get a palindrome (225866668522).

The spelling of 221452414400 in words is "two hundred twenty-one billion, four hundred fifty-two million, four hundred fourteen thousand, four hundred".