4005507840000 has 480 divisors, whose sum is σ = 13804688898000. Its totient is φ = 1031274496000.

The previous prime is 4005507839987. The next prime is 4005507840017. The reversal of 4005507840000 is 487055004.

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 111342016 + ... + 111377984.

Almost surely, 2^{4005507840000} is an apocalyptic number.

4005507840000 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 4005507840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6902344449000).

4005507840000 is an abundant number, since it is smaller than the sum of its proper divisors (9799181058000).

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

4005507840000 is an equidigital number, since it uses as much as digits as its factorization.

4005507840000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36043 (or 36008 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 33.

The spelling of 4005507840000 in words is "four trillion, five billion, five hundred seven million, eight hundred forty thousand".