4144104432144 has 30 divisors (see below), whose sum is σ = 11597736709806. Its totient is φ = 1381368144000.

The previous prime is 4144104432113. The next prime is 4144104432227. The reversal of 4144104432144 is 4412344014414.

4144104432144 is a `hidden beast` number, since 4 + 1 + 441 + 0 + 44 + 32 + 144 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3209185616400 + 934918815744 = 1791420^2 + 966912^2 .

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 = 4144104432099 and 4144104432108.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 14389251357 + ... + 14389251644.

Almost surely, 2^{4144104432144} is an apocalyptic number.

It is an amenable number.

4144104432144 is an abundant number, since it is smaller than the sum of its proper divisors (7453632277662).

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

4144104432144 is a wasteful number, since it uses less digits than its factorization.

4144104432144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28778503015 (or 28778503006 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 36.

Adding to 4144104432144 its reverse (4412344014414), we get a palindrome (8556448446558).

The spelling of 4144104432144 in words is "four trillion, one hundred forty-four billion, one hundred four million, four hundred thirty-two thousand, one hundred forty-four".