4002404042004 has 48 divisors (see below), whose sum is σ = 9831464489280. Its totient is φ = 1263788697600.

The previous prime is 4002404041963. The next prime is 4002404042051.

4002404042004 is nontrivially palindromic in base 10.

4002404042004 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 1370932 + ... + 3143924.

It is an arithmetic number, because the mean of its divisors is an integer number (204822176860).

Almost surely, 2^{4002404042004} is an apocalyptic number.

It is an amenable number.

4002404042004 is an abundant number, since it is smaller than the sum of its proper divisors (5829060447276).

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

4002404042004 is a wasteful number, since it uses less digits than its factorization.

4002404042004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1782920 (or 1782918 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

The spelling of 4002404042004 in words is "four trillion, two billion, four hundred four million, forty-two thousand, four".