1003004040 has 64 divisors (see below), whose sum is σ = 3022349760. Its totient is φ = 266282240.

The previous prime is 1003003999. The next prime is 1003004059. The reversal of 1003004040 is 404003001.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 8830 + ... + 45650.

It is an arithmetic number, because the mean of its divisors is an integer number (47224215).

Almost surely, 2^1003004040 is an apocalyptic number.

1003004040 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 1003004040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1511174880).

1003004040 is an abundant number, since it is smaller than the sum of its proper divisors (2019345720).

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

1003004040 is a wasteful number, since it uses less digits than its factorization.

1003004040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37062 (or 37058 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 1003004040 is about 31670.2390265688. The cubic root of 1003004040 is about 1001.0003456416. Note that the first 3 decimals are identical.

Adding to 1003004040 its reverse (404003001), we get a palindrome (1407007041).

The spelling of 1003004040 in words is "one billion, three million, four thousand, forty".