1441441040 has 80 divisors (see below), whose sum is σ = 3623861808. Its totient is φ = 530055168.

The previous prime is 1441441039. The next prime is 1441441051. The reversal of 1441441040 is 401441441.

It can be written as a sum of positive squares in 8 ways, for example, as 167236624 + 1274204416 = 12932^2 + 35696^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 1441440997 and 1441441015.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 264584 + ... + 269976.

Almost surely, 2^1441441040 is an apocalyptic number.

1441441040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1441441040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1811930904).

1441441040 is an abundant number, since it is smaller than the sum of its proper divisors (2182420768).

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

1441441040 is a wasteful number, since it uses less digits than its factorization.

1441441040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5676 (or 5670 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 23.

The square root of 1441441040 is about 37966.3145432896. The cubic root of 1441441040 is about 1129.6197953407.

Adding to 1441441040 its reverse (401441441), we get a palindrome (1842882481).

The spelling of 1441441040 in words is "one billion, four hundred forty-one million, four hundred forty-one thousand, forty".