221324140800 has 810 divisors, whose sum is σ = 952051355178. Its totient is φ = 50582568960.

The previous prime is 221324140787. The next prime is 221324140801. The reversal of 221324140800 is 8041423122.

221324140800 is a `hidden beast` number, since 2 + 2 + 13 + 241 + 408 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 61989048576 + 159335092224 = 248976^2 + 399168^2 .

It is a tau number, because it is divible by the number of its divisors (810).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (221324140801) by changing a digit.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 25397244 + ... + 25405956.

Almost surely, 2^221324140800 is an apocalyptic number.

221324140800 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 221324140800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476025677589).

221324140800 is an abundant number, since it is smaller than the sum of its proper divisors (730727214378).

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

221324140800 is an equidigital number, since it uses as much as digits as its factorization.

221324140800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8765 (or 8730 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 221324140800 its reverse (8041423122), we get a palindrome (229365563922).

The spelling of 221324140800 in words is "two hundred twenty-one billion, three hundred twenty-four million, one hundred forty thousand, eight hundred".