10075000040 has 128 divisors (see below), whose sum is σ = 28456704000. Its totient is φ = 3130161408.

The previous prime is 10074999959. The next prime is 10075000051. The reversal of 10075000040 is 4000057001.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 10074999982 and 10075000018.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 81191 + ... + 163529.

It is an arithmetic number, because the mean of its divisors is an integer number (222318000).

Almost surely, 2^10075000040 is an apocalyptic number.

10075000040 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 10075000040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14228352000).

10075000040 is an abundant number, since it is smaller than the sum of its proper divisors (18381703960).

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

10075000040 is a wasteful number, since it uses less digits than its factorization.

10075000040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82399 (or 82395 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 17.

Adding to 10075000040 its reverse (4000057001), we get a palindrome (14075057041).

The spelling of 10075000040 in words is "ten billion, seventy-five million, forty", and thus it is an aban number and an uban number.