441332001288 has 48 divisors (see below), whose sum is σ = 1236490526700. Its totient is φ = 142037884800.

The previous prime is 441332001247. The next prime is 441332001289. The reversal of 441332001288 is 882100233144.

It is a happy number.

441332001288 is a `hidden beast` number, since 4 + 41 + 332 + 0 + 0 + 1 + 288 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 394657855524 + 46674145764 = 628218^2 + 216042^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (441332001289) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 105680863 + ... + 105685038.

Almost surely, 2^441332001288 is an apocalyptic number.

It is an amenable number.

441332001288 is an abundant number, since it is smaller than the sum of its proper divisors (795158525412).

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

441332001288 is a wasteful number, since it uses less digits than its factorization.

441332001288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211365942 (or 211365935 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 441332001288 in words is "four hundred forty-one billion, three hundred thirty-two million, one thousand, two hundred eighty-eight".