1003042440 has 160 divisors (see below), whose sum is σ = 3384742680. Its totient is φ = 266416128.

The previous prime is 1003042427. The next prime is 1003042441. The reversal of 1003042440 is 442403001.

1003042440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 902521764 + 100520676 = 30042^2 + 10026^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1003042441) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1143282 + ... + 1144158.

Almost surely, 2^1003042440 is an apocalyptic number.

1003042440 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 1003042440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1692371340).

1003042440 is an abundant number, since it is smaller than the sum of its proper divisors (2381700240).

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

1003042440 is a wasteful number, since it uses less digits than its factorization.

1003042440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1253 (or 1240 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 1003042440 is about 31670.8452681642. The cubic root of 1003042440 is about 1001.0131199081.

Adding to 1003042440 its reverse (442403001), we get a palindrome (1445445441).

The spelling of 1003042440 in words is "one billion, three million, forty-two thousand, four hundred forty".