4412432342144 has 32 divisors (see below), whose sum is σ = 8790517056540. Its totient is φ = 2206184924160.

The previous prime is 4412432342111. The next prime is 4412432342147.

4412432342144 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 4376832199744 + 35600142400 = 2092088^2 + 188680^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 4412432342098 and 4412432342107.

It is not an unprimeable number, because it can be changed into a prime (4412432342147) 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 3 ways as a sum of consecutive naturals, for example, 10758182 + ... + 11160794.

Almost surely, 2^{4412432342144} is an apocalyptic number.

It is an amenable number.

4412432342144 is a deficient number, since it is larger than the sum of its proper divisors (4378084714396).

4412432342144 is an equidigital number, since it uses as much as digits as its factorization.

4412432342144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488248 (or 488236 counting only the distinct ones).

The product of its digits is 294912, while the sum is 38.

The spelling of 4412432342144 in words is "four trillion, four hundred twelve billion, four hundred thirty-two million, three hundred forty-two thousand, one hundred forty-four".