4005002104100 has 36 divisors (see below), whose sum is σ = 8691276730500. Its totient is φ = 1601923023360.

The previous prime is 4005002104097. The next prime is 4005002104111. The reversal of 4005002104100 is 14012005004.

4005002104100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 476284937956 + 3528717166144 = 690134^2 + 1878488^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1118576 + ... + 3043224.

It is an arithmetic number, because the mean of its divisors is an integer number (241424353625).

Almost surely, 2^{4005002104100} is an apocalyptic number.

It is an amenable number.

4005002104100 is an abundant number, since it is smaller than the sum of its proper divisors (4686274626400).

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

4005002104100 is a wasteful number, since it uses less digits than its factorization.

4005002104100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1945472 (or 1945465 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

Adding to 4005002104100 its reverse (14012005004), we get a palindrome (4019014109104).

The spelling of 4005002104100 in words is "four trillion, five billion, two million, one hundred four thousand, one hundred".