2000144123424 has 72 divisors (see below), whose sum is σ = 6022492798140. Its totient is φ = 627496194048.

The previous prime is 2000144123399. The next prime is 2000144123429. The reversal of 2000144123424 is 4243214410002.

2000144123424 is a `hidden beast` number, since 200 + 0 + 1 + 4 + 412 + 3 + 42 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1473747440400 + 526396683024 = 1213980^2 + 725532^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×2000144123424² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2000144123429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 204258189 + ... + 204267980.

Almost surely, 2^{2000144123424} is an apocalyptic number.

2000144123424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2000144123424 is an abundant number, since it is smaller than the sum of its proper divisors (4022348674716).

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

2000144123424 is a wasteful number, since it uses less digits than its factorization.

2000144123424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408526202 (or 408526191 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 2000144123424 its reverse (4243214410002), we get a palindrome (6243358533426).

The spelling of 2000144123424 in words is "two trillion, one hundred forty-four million, one hundred twenty-three thousand, four hundred twenty-four".