4080553521444 has 81 divisors (see below), whose sum is σ = 10373427222067. Its totient is φ = 1352488162368.

The previous prime is 4080553521397. The next prime is 4080553521511. The reversal of 4080553521444 is 4441253550804.

The square root of 4080553521444 is 2020038.

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

4080553521444 is a `hidden beast` number, since 4 + 0 + 8 + 0 + 553 + 52 + 1 + 4 + 44 = 666.

4080553521444 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 369968062500 + 3710585458944 = 608250^2 + 1926288^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 4080553521444.

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, 2387684062 + ... + 2387685770.

Almost surely, 2^{4080553521444} is an apocalyptic number.

4080553521444 is the 2020038-th square number.

It is an amenable number.

4080553521444 is an abundant number, since it is smaller than the sum of its proper divisors (6292873700623).

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

4080553521444 is an equidigital number, since it uses as much as digits as its factorization.

4080553521444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3822 (or 1911 counting only the distinct ones).

The product of its (nonzero) digits is 1536000, while the sum is 45.

The spelling of 4080553521444 in words is "four trillion, eighty billion, five hundred fifty-three million, five hundred twenty-one thousand, four hundred forty-four".