1024441040 has 60 divisors (see below), whose sum is σ = 2770705476. Its totient is φ = 351235584.

The previous prime is 1024441027. The next prime is 1024441049. The reversal of 1024441040 is 401444201.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 210366016 + 814075024 = 14504^2 + 28532^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1024441049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 126749 + ... + 134588.

Almost surely, 2^1024441040 is an apocalyptic number.

1024441040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1024441040 is an abundant number, since it is smaller than the sum of its proper divisors (1746264436).

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

1024441040 is a wasteful number, since it uses less digits than its factorization.

1024441040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261364 (or 261351 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 1024441040 is about 32006.8905081390. The cubic root of 1024441040 is about 1008.0815263278.

Adding to 1024441040 its reverse (401444201), we get a palindrome (1425885241).

The spelling of 1024441040 in words is "one billion, twenty-four million, four hundred forty-one thousand, forty".