221040230400 has 1440 divisors, whose sum is σ = 936140083200. Its totient is φ = 50606899200.

The previous prime is 221040230357. The next prime is 221040230431. The reversal of 221040230400 is 4032040122.

221040230400 is a `hidden beast` number, since 22 + 10 + 4 + 0 + 230 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2797977561 + ... + 2797977639.

It is an arithmetic number, because the mean of its divisors is an integer number (650097280).

Almost surely, 2^221040230400 is an apocalyptic number.

221040230400 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 221040230400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468070041600).

221040230400 is an abundant number, since it is smaller than the sum of its proper divisors (715099852800).

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

221040230400 is a wasteful number, since it uses less digits than its factorization.

221040230400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 221040230400 its reverse (4032040122), we get a palindrome (225072270522).

The spelling of 221040230400 in words is "two hundred twenty-one billion, forty million, two hundred thirty thousand, four hundred".