1003000040 has 64 divisors (see below), whose sum is σ = 2662364160. Its totient is φ = 332789760.

The previous prime is 1003000027. The next prime is 1003000043. The reversal of 1003000040 is 400003001.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a junction number, because it is equal to n+sod(n) for n = 1002999991 and 1003000027.

It is not an unprimeable number, because it can be changed into a prime (1003000043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49097 + ... + 66456.

It is an arithmetic number, because the mean of its divisors is an integer number (41599440).

Almost surely, 2^1003000040 is an apocalyptic number.

1003000040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1003000040 is an abundant number, since it is smaller than the sum of its proper divisors (1659364120).

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

1003000040 is a wasteful number, since it uses less digits than its factorization.

1003000040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115602 (or 115598 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 8.

The square root of 1003000040 is about 31670.1758757352. The cubic root of 1003000040 is about 1000.9990149701. Note that the first 3 decimals are identical.

Adding to 1003000040 its reverse (400003001), we get a palindrome (1403003041).

The spelling of 1003000040 in words is "one billion, three million, forty", and thus it is an aban number and an uban number.