4004180125506 has 24 divisors (see below), whose sum is σ = 9464425751664. Its totient is φ = 1213387916760.

The previous prime is 4004180125499. The next prime is 4004180125577. The reversal of 4004180125506 is 6055210814004.

It is a happy number.

4004180125506 is a `hidden beast` number, since 400 + 4 + 1 + 80 + 125 + 50 + 6 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10111565776 + ... + 10111566171.

It is an arithmetic number, because the mean of its divisors is an integer number (394351072986).

Almost surely, 2^{4004180125506} is an apocalyptic number.

4004180125506 is an abundant number, since it is smaller than the sum of its proper divisors (5460245626158).

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

4004180125506 is a wasteful number, since it uses less digits than its factorization.

4004180125506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20223131966 (or 20223131963 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 4004180125506 in words is "four trillion, four billion, one hundred eighty million, one hundred twenty-five thousand, five hundred six".