4008808040 has 64 divisors (see below), whose sum is σ = 9342162000. Its totient is φ = 1546352640.

The previous prime is 4008808039. The next prime is 4008808049. The reversal of 4008808040 is 408088004.

It can be written as a sum of positive squares in 8 ways, for example, as 1925980996 + 2082827044 = 43886^2 + 45638^2 .

It is a junction number, because it is equal to n+sod(n) for n = 4008807988 and 4008808006.

It is not an unprimeable number, because it can be changed into a prime (4008808049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1308110 + ... + 1311170.

Almost surely, 2^4008808040 is an apocalyptic number.

4008808040 is a gapful number since it is divisible by the number (40) 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 4008808040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4671081000).

4008808040 is an abundant number, since it is smaller than the sum of its proper divisors (5333353960).

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

4008808040 is a wasteful number, since it uses less digits than its factorization.

4008808040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4230 (or 4226 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 32.

The square root of 4008808040 is about 63315.1485823101. The cubic root of 4008808040 is about 1588.5653554468.

Subtracting from 4008808040 its reverse (408088004), we obtain a square (3600720036 = 60006²).

The spelling of 4008808040 in words is "four billion, eight million, eight hundred eight thousand, forty".