4442436342444 has 48 divisors (see below), whose sum is σ = 10915529184000. Its totient is φ = 1402324088256.

The previous prime is 4442436342437. The next prime is 4442436342451.

It is a happy number.

4442436342444 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (4442436342437) and next prime (4442436342451).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 4442436342393 and 4442436342402.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 3240792 + ... + 4403135.

It is an arithmetic number, because the mean of its divisors is an integer number (227406858000).

Almost surely, 2^{4442436342444} is an apocalyptic number.

It is an amenable number.

4442436342444 is an abundant number, since it is smaller than the sum of its proper divisors (6473092841556).

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

4442436342444 is a wasteful number, since it uses less digits than its factorization.

4442436342444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7646502 (or 7646500 counting only the distinct ones).

The product of its digits is 14155776, while the sum is 48.

The spelling of 4442436342444 in words is "four trillion, four hundred forty-two billion, four hundred thirty-six million, three hundred forty-two thousand, four hundred forty-four".