4005005004 has 216 divisors, whose sum is σ = 13836343248. Its totient is φ = 960180480.

The previous prime is 4005004999. The next prime is 4005005021.

It is a happy number.

4005005004 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 71 ways as a sum of consecutive naturals, for example, 244314 + ... + 260190.

Almost surely, 2^4005005004 is an apocalyptic number.

4005005004 is a gapful number since it is divisible by the number (44) 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 4005005004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6918171624).

4005005004 is an abundant number, since it is smaller than the sum of its proper divisors (9831338244).

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

4005005004 is a wasteful number, since it uses less digits than its factorization.

4005005004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15925 (or 15913 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 18.

The square root of 4005005004 is about 63285.1088645662. The cubic root of 4005005004 is about 1588.0628550689.

It can be divided in two parts, 400500 and 5004, that added together give a palindrome (405504).

The spelling of 4005005004 in words is "four billion, five million, five thousand, four".