441040144 has 10 divisors (see below), whose sum is σ = 854515310. Its totient is φ = 220520064.

The previous prime is 441040133. The next prime is 441040177.

It is a happy number.

441040144 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 416160000 + 24880144 = 20400^2 + 4988^2 .

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 as a sum of consecutive naturals, namely, 13782489 + ... + 13782520.

It is an arithmetic number, because the mean of its divisors is an integer number (85451531).

Almost surely, 2^441040144 is an apocalyptic number.

It is an amenable number.

441040144 is a deficient number, since it is larger than the sum of its proper divisors (413475166).

441040144 is a wasteful number, since it uses less digits than its factorization.

441040144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27565017 (or 27565011 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

The square root of 441040144 is about 21000.9557877731. The cubic root of 441040144 is about 761.1893565905.

The spelling of 441040144 in words is "four hundred forty-one million, forty thousand, one hundred forty-four".