10031004040 has 32 divisors (see below), whose sum is σ = 22776831000. Its totient is φ = 3975588864.

The previous prime is 10031004023. The next prime is 10031004059. The reversal of 10031004040 is 4040013001.

10031004040 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 6724984036 + 3306020004 = 82006^2 + 57498^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 10031004040.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1145985 + ... + 1154704.

Almost surely, 2^10031004040 is an apocalyptic number.

10031004040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10031004040 is an abundant number, since it is smaller than the sum of its proper divisors (12745826960).

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

10031004040 is a wasteful number, since it uses less digits than its factorization.

10031004040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2300809 (or 2300805 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 10031004040 its reverse (4040013001), we get a palindrome (14071017041).

The spelling of 10031004040 in words is "ten billion, thirty-one million, four thousand, forty".