4002120212004 has 144 divisors (see below), whose sum is σ = 10375229220720. Its totient is φ = 1300430868480.

The previous prime is 4002120211979. The next prime is 4002120212021.

4002120212004 is a `hidden beast` number, since 400 + 21 + 20 + 21 + 200 + 4 = 666.

4002120212004 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 8 ways, for example, as 159971904 + 4001960240100 = 12648^2 + 2000490^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 82423974 + ... + 82472514.

Almost surely, 2^{4002120212004} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4002120212004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5187614610360).

4002120212004 is an abundant number, since it is smaller than the sum of its proper divisors (6373109008716).

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

4002120212004 is a wasteful number, since it uses less digits than its factorization.

4002120212004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48990 (or 48985 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

It can be divided in two parts, 4002120 and 212004, that added together give a palindrome (4214124).

The spelling of 4002120212004 in words is "four trillion, two billion, one hundred twenty million, two hundred twelve thousand, four".