441211020112144 has 20 divisors (see below), whose sum is σ = 854854586948700. Its totient is φ = 220603384770560.

The previous prime is 441211020112127. The next prime is 441211020112183.

It is a happy number.

441211020112144 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 363487189315600 + 77723830796544 = 19065340^2 + 8816112^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 131116969 + ... + 134439880.

It is an arithmetic number, because the mean of its divisors is an integer number (42742729347435).

Almost surely, 2^{441211020112144} is an apocalyptic number.

It is an amenable number.

441211020112144 is a deficient number, since it is larger than the sum of its proper divisors (413643566836556).

441211020112144 is a wasteful number, since it uses less digits than its factorization.

441211020112144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265660698 (or 265660692 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 28.

The spelling of 441211020112144 in words is "four hundred forty-one trillion, two hundred eleven billion, twenty million, one hundred twelve thousand, one hundred forty-four".