110221430400 has 240 divisors, whose sum is σ = 406742273190. Its totient is φ = 29392312320.

The previous prime is 110221430393. The next prime is 110221430453. The reversal of 110221430400 is 4034122011.

110221430400 is a `hidden beast` number, since 1 + 1 + 0 + 221 + 43 + 0 + 400 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 101873318976 + 8348111424 = 319176^2 + 91368^2 .

It is a tau number, because it is divible by the number of its divisors (240).

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 (17) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 46582 + ... + 471818.

Almost surely, 2^110221430400 is an apocalyptic number.

110221430400 is a gapful number since it is divisible by the number (10) 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 110221430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203371136595).

110221430400 is an abundant number, since it is smaller than the sum of its proper divisors (296520842790).

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

110221430400 is an equidigital number, since it uses as much as digits as its factorization.

110221430400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425273 (or 425247 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 110221430400 its reverse (4034122011), we get a palindrome (114255552411).

The spelling of 110221430400 in words is "one hundred ten billion, two hundred twenty-one million, four hundred thirty thousand, four hundred".