4000000000005 has 24 divisors (see below), whose sum is σ = 6934698290520. Its totient is φ = 2132913346560.

The previous prime is 3999999999967. The next prime is 4000000000039. The reversal of 4000000000005 is 5000000000004.

It can be written as a sum of positive squares in 4 ways, for example, as 416698652484 + 3583301347521 = 645522^2 + 1892961^2 .

It is not a de Polignac number, because 4000000000005 - 2²⁹ = 3999463129093 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 3999999999897 and 3999999999906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8518540 + ... + 8975829.

It is an arithmetic number, because the mean of its divisors is an integer number (288945762105).

Almost surely, 2^{4000000000005} is an apocalyptic number.

4000000000005 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4000000000005 is a deficient number, since it is larger than the sum of its proper divisors (2934698290515).

4000000000005 is a wasteful number, since it uses less digits than its factorization.

4000000000005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17499461 (or 17499458 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 9.

Adding to 4000000000005 its reverse (5000000000004), we get a palindrome (9000000000009).

Subtracting 4000000000005 from its reverse (5000000000004), we obtain a palindrome (999999999999).

The spelling of 4000000000005 in words is "four trillion, five", and thus it is an aban number.