441005040014400 has 567 divisors, whose sum is σ = 1580048684829381. Its totient is φ = 116662554639360.

The previous prime is 441005040014333. The next prime is 441005040014401. The reversal of 441005040014400 is 4410040500144.

The square root of 441005040014400 is 21000120.

It is a perfect power (a square), and thus also a powerful number.

441005040014400 is a `hidden beast` number, since 4 + 4 + 10 + 0 + 504 + 0 + 0 + 144 + 0 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 158761814405184 + 282243225609216 = 12600072^2 + 16800096^2 .

It is not an unprimeable number, because it can be changed into a prime (441005040014401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 350282000971 + ... + 350282002229.

Almost surely, 2^{441005040014400} is an apocalyptic number.

441005040014400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

441005040014400 is the 21000120-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 441005040014400

441005040014400 is an abundant number, since it is smaller than the sum of its proper divisors (1139043644814981).

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

441005040014400 is an equidigital number, since it uses as much as digits as its factorization.

441005040014400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2824 (or 1408 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

Adding to 441005040014400 its reverse (4410040500144), we get a palindrome (445415080514544).

The spelling of 441005040014400 in words is "four hundred forty-one trillion, five billion, forty million, fourteen thousand, four hundred".