441400441331988 has 18 divisors (see below), whose sum is σ = 1115762226700394. Its totient is φ = 147133480443984.

The previous prime is 441400441331909. The next prime is 441400441332001. The reversal of 441400441331988 is 889133144004144.

It is a happy number.

441400441331988 is a `hidden beast` number, since 4 + 4 + 1 + 4 + 0 + 0 + 441 + 3 + 3 + 198 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 434465582570244 + 6934858761744 = 20843838^2 + 2633412^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 6130561685131 + ... + 6130561685202.

Almost surely, 2^{441400441331988} is an apocalyptic number.

It is an amenable number.

441400441331988 is an abundant number, since it is smaller than the sum of its proper divisors (674361785368406).

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

441400441331988 is a wasteful number, since it uses less digits than its factorization.

441400441331988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12261123370343 (or 12261123370338 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 441400441331988 in words is "four hundred forty-one trillion, four hundred billion, four hundred forty-one million, three hundred thirty-one thousand, nine hundred eighty-eight".