4008804040480 has 96 divisors (see below), whose sum is σ = 9559621209600. Its totient is φ = 1588488993792.

The previous prime is 4008804040447. The next prime is 4008804040499. The reversal of 4008804040480 is 840404088004.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 98044681 + ... + 98085559.

It is an arithmetic number, because the mean of its divisors is an integer number (99579387600).

Almost surely, 2^{4008804040480} is an apocalyptic number.

4008804040480 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 4008804040480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4779810604800).

4008804040480 is an abundant number, since it is smaller than the sum of its proper divisors (5550817169120).

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

4008804040480 is a wasteful number, since it uses less digits than its factorization.

4008804040480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46626 (or 46618 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 40.

The spelling of 4008804040480 in words is "four trillion, eight billion, eight hundred four million, forty thousand, four hundred eighty".