4442156512444 has 72 divisors (see below), whose sum is σ = 9129758400000. Its totient is φ = 1885581629568.

The previous prime is 4442156512421. The next prime is 4442156512457.

It is a happy number.

4442156512444 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×4442156512444² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4442156512394 and 4442156512403.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 9974277 + ... + 10410115.

It is an arithmetic number, because the mean of its divisors is an integer number (126802200000).

Almost surely, 2^{4442156512444} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4442156512444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4564879200000).

4442156512444 is an abundant number, since it is smaller than the sum of its proper divisors (4687601887556).

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

4442156512444 is a wasteful number, since it uses less digits than its factorization.

4442156512444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436355 (or 436346 counting only the distinct ones).

The product of its digits is 2457600, while the sum is 46.

The spelling of 4442156512444 in words is "four trillion, four hundred forty-two billion, one hundred fifty-six million, five hundred twelve thousand, four hundred forty-four".