1441833984 has 132 divisors (see below), whose sum is σ = 4207199100. Its totient is φ = 475545600.

The previous prime is 1441833983. The next prime is 1441833997. The reversal of 1441833984 is 4893381441.

It can be written as a sum of positive squares in 2 ways, for example, as 1015824384 + 426009600 = 31872^2 + 20640^2 .

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1441833983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 930042 + ... + 931590.

Almost surely, 2^1441833984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1441833984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2103599550).

1441833984 is an abundant number, since it is smaller than the sum of its proper divisors (2765365116).

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

1441833984 is a wasteful number, since it uses less digits than its factorization.

1441833984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1676 (or 1655 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 1441833984 is about 37971.4890937925. The cubic root of 1441833984 is about 1129.7224326738.

The spelling of 1441833984 in words is "one billion, four hundred forty-one million, eight hundred thirty-three thousand, nine hundred eighty-four".