4008488408800 has 72 divisors (see below), whose sum is σ = 9839787447672. Its totient is φ = 1594536768000.

The previous prime is 4008488408797. The next prime is 4008488408809. The reversal of 4008488408800 is 88048848004.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4008488408809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13696666 + ... + 13986265.

It is an arithmetic number, because the mean of its divisors is an integer number (136663714551).

Almost surely, 2^{4008488408800} is an apocalyptic number.

4008488408800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4008488408800 is an abundant number, since it is smaller than the sum of its proper divisors (5831299038872).

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

4008488408800 is a wasteful number, since it uses less digits than its factorization.

4008488408800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27683132 (or 27683119 counting only the distinct ones).

The product of its (nonzero) digits is 2097152, while the sum is 52.

The spelling of 4008488408800 in words is "four trillion, eight billion, four hundred eighty-eight million, four hundred eight thousand, eight hundred".