42144024141144 has 48 divisors (see below), whose sum is σ = 114140694769920. Its totient is φ = 14047930584000.

The previous prime is 42144024141143. The next prime is 42144024141151. The reversal of 42144024141144 is 44114142044124.

42144024141144 is a `hidden beast` number, since 4 + 214 + 4 + 0 + 24 + 1 + 411 + 4 + 4 = 666.

42144024141144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×42144024141144² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 42144024141099 and 42144024141108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42144024141143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12369769 + ... + 15404519.

It is an arithmetic number, because the mean of its divisors is an integer number (2377931141040).

Almost surely, 2^{42144024141144} is an apocalyptic number.

It is an amenable number.

42144024141144 is an abundant number, since it is smaller than the sum of its proper divisors (71996670628776).

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

42144024141144 is a wasteful number, since it uses less digits than its factorization.

42144024141144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3227640 (or 3227633 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 36.

Adding to 42144024141144 its reverse (44114142044124), we get a palindrome (86258166185268).

The spelling of 42144024141144 in words is "forty-two trillion, one hundred forty-four billion, twenty-four million, one hundred forty-one thousand, one hundred forty-four".