2000004114144 has 192 divisors, whose sum is σ = 5672426215680. Its totient is φ = 614703636480.

The previous prime is 2000004114089. The next prime is 2000004114167. The reversal of 2000004114144 is 4414114000002.

It is a self number, because there is not a number n which added to its sum of digits gives 2000004114144.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 28176939 + ... + 28247829.

It is an arithmetic number, because the mean of its divisors is an integer number (29543886540).

Almost surely, 2^{2000004114144} is an apocalyptic number.

2000004114144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2000004114144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2836213107840).

2000004114144 is an abundant number, since it is smaller than the sum of its proper divisors (3672422101536).

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

2000004114144 is a wasteful number, since it uses less digits than its factorization.

2000004114144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71273 (or 71265 counting only the distinct ones).

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

Adding to 2000004114144 its reverse (4414114000002), we get a palindrome (6414118114146).

The spelling of 2000004114144 in words is "two trillion, four million, one hundred fourteen thousand, one hundred forty-four".