4442400042444 has 432 divisors, whose sum is σ = 14684825902656. Its totient is φ = 1121255654400.

The previous prime is 4442400042371. The next prime is 4442400042449.

4442400042444 is a `hidden beast` number, since 4 + 4 + 4 + 2 + 400 + 0 + 4 + 244 + 4 = 666.

4442400042444 is nontrivially palindromic in base 10.

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 = 4442400042399 and 4442400042408.

It is not an unprimeable number, because it can be changed into a prime (4442400042449) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 51714609 + ... + 51800439.

Almost surely, 2^{4442400042444} 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 4442400042444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7342412951328).

4442400042444 is an abundant number, since it is smaller than the sum of its proper divisors (10242425860212).

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

4442400042444 is a wasteful number, since it uses less digits than its factorization.

4442400042444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85966 (or 85954 counting only the distinct ones).

The product of its (nonzero) digits is 262144, while the sum is 36.

It can be divided in two parts, 44424000 and 42444, that added together give a palindrome (44466444).

The spelling of 4442400042444 in words is "four trillion, four hundred forty-two billion, four hundred million, forty-two thousand, four hundred forty-four".