1003444040 has 64 divisors (see below), whose sum is σ = 2396530800. Its totient is φ = 376823808.

The previous prime is 1003444037. The next prime is 1003444061. The reversal of 1003444040 is 404443001.

It can be written as a sum of positive squares in 8 ways, for example, as 677352676 + 326091364 = 26026^2 + 18058^2 .

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

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, 309146 + ... + 312374.

Almost surely, 2^1003444040 is an apocalyptic number.

1003444040 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 1003444040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1198265400).

1003444040 is an abundant number, since it is smaller than the sum of its proper divisors (1393086760).

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

1003444040 is a wasteful number, since it uses less digits than its factorization.

1003444040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3714 (or 3710 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 1003444040 is about 31677.1848496674. The cubic root of 1003444040 is about 1001.1466979146.

Adding to 1003444040 its reverse (404443001), we get a palindrome (1407887041).

The spelling of 1003444040 in words is "one billion, three million, four hundred forty-four thousand, forty".