4048808000040 has 96 divisors (see below), whose sum is σ = 13374341253000. Its totient is φ = 1061982420480.

The previous prime is 4048808000011. The next prime is 4048808000047. The reversal of 4048808000040 is 400008088404.

It can be written as a sum of positive squares in 4 ways, for example, as 1239557129316 + 2809250870724 = 1113354^2 + 1676082^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4048807999959 and 4048808000004.

It is not an unprimeable number, because it can be changed into a prime (4048808000047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 92164015 + ... + 92207934.

Almost surely, 2^{4048808000040} is an apocalyptic number.

4048808000040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4048808000040 is an abundant number, since it is smaller than the sum of its proper divisors (9325533252960).

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

4048808000040 is a wasteful number, since it uses less digits than its factorization.

4048808000040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184372027 (or 184372020 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The spelling of 4048808000040 in words is "four trillion, forty-eight billion, eight hundred eight million, forty", and thus it is an aban number.