4410050400144 has 135 divisors (see below), whose sum is σ = 12441328227003. Its totient is φ = 1458281932992.

The previous prime is 4410050400103. The next prime is 4410050400187. The reversal of 4410050400144 is 4410040500144.

The square root of 4410050400144 is 2100012.

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

4410050400144 is a `hidden beast` number, since 4 + 4 + 10 + 0 + 504 + 0 + 0 + 144 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3502819387 + ... + 3502820645.

Almost surely, 2^{4410050400144} is an apocalyptic number.

4410050400144 is the 2100012-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4410050400144

4410050400144 is an abundant number, since it is smaller than the sum of its proper divisors (8031277826859).

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

4410050400144 is an equidigital number, since it uses as much as digits as its factorization.

4410050400144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2810 (or 1403 counting only the distinct ones).

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

Adding to 4410050400144 its reverse (4410040500144), we get a palindrome (8820090900288).

The spelling of 4410050400144 in words is "four trillion, four hundred ten billion, fifty million, four hundred thousand, one hundred forty-four".