4002004211142 has 32 divisors (see below), whose sum is σ = 9147570969600. Its totient is φ = 1143413178048.

The previous prime is 4002004211141. The next prime is 4002004211159. The reversal of 4002004211142 is 2411124002004.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4002004211141) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2399034 + ... + 3709362.

It is an arithmetic number, because the mean of its divisors is an integer number (285861592800).

Almost surely, 2^{4002004211142} is an apocalyptic number.

4002004211142 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

4002004211142 is an abundant number, since it is smaller than the sum of its proper divisors (5145566758458).

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

4002004211142 is a wasteful number, since it uses less digits than its factorization.

4002004211142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1383060.

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 4002004211142 its reverse (2411124002004), we get a palindrome (6413128213146).

The spelling of 4002004211142 in words is "four trillion, two billion, four million, two hundred eleven thousand, one hundred forty-two".