10000040 has 48 divisors (see below), whose sum is σ = 23190300. Its totient is φ = 3880448.

The previous prime is 10000019. The next prime is 10000079. The reversal of 10000040 is 4000001.

It can be written as a sum of positive squares in 6 ways, for example, as 4919524 + 5080516 = 2218^2 + 2254^2 .

It is a Harshad number since it is a multiple of its sum of digits (5).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a junction number, because it is equal to n+sod(n) for n = 9999979 and 10000033.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 112316 + ... + 112404.

Almost surely, 2^10000040 is an apocalyptic number.

10000040 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 10000040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11595150).

10000040 is an abundant number, since it is smaller than the sum of its proper divisors (13190260).

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

10000040 is an equidigital number, since it uses as much as digits as its factorization.

10000040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 5.

The square root of 10000040 is about 3162.2839847174. The cubic root of 10000040 is about 215.4437562608.

Adding to 10000040 its reverse (4000001), we get a palindrome (14000041).

It can be divided in two parts, 100000 and 40, that multiplied together give a square (4000000 = 2000²).

The spelling of 10000040 in words is "ten million, forty", and thus it is an aban number and an uban number.