2444114114442 has 144 divisors (see below), whose sum is σ = 7164015505920. Its totient is φ = 586001338560.

The previous prime is 2444114114339. The next prime is 2444114114443.

2444114114442 is a `hidden beast` number, since 24 + 4 + 41 + 141 + 14 + 442 = 666.

2444114114442 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 2444114114397 and 2444114114406.

It is not an unprimeable number, because it can be changed into a prime (2444114114443) 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 71 ways as a sum of consecutive naturals, for example, 5967642 + ... + 6364037.

It is an arithmetic number, because the mean of its divisors is an integer number (49750107680).

Almost surely, 2^{2444114114442} is an apocalyptic number.

2444114114442 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2444114114442 is an abundant number, since it is smaller than the sum of its proper divisors (4719901391478).

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

2444114114442 is a wasteful number, since it uses less digits than its factorization.

2444114114442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12331729 (or 12331715 counting only the distinct ones).

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

The spelling of 2444114114442 in words is "two trillion, four hundred forty-four billion, one hundred fourteen million, one hundred fourteen thousand, four hundred forty-two".