10000000040 has 48 divisors (see below), whose sum is σ = 23062320540. Its totient is φ = 3902412800.

The previous prime is 10000000033. The next prime is 10000000061. The reversal of 10000000040 is 4000000001.

It can be written as a sum of positive squares in 6 ways, for example, as 132756484 + 9867243556 = 11522^2 + 99334^2 .

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 = 9999999961 and 10000000033.

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 11 ways as a sum of consecutive naturals, for example, 7121 + ... + 141600.

Almost surely, 2^10000000040 is an apocalyptic number.

10000000040 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 10000000040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11531160270).

10000000040 is an abundant number, since it is smaller than the sum of its proper divisors (13062320500).

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

10000000040 is a wasteful number, since it uses less digits than its factorization.

10000000040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148814 (or 148769 counting only the distinct ones).

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

Adding to 10000000040 its reverse (4000000001), we get a palindrome (14000000041).

The spelling of 10000000040 in words is "ten billion, forty", and thus it is an aban number and an uban number.