44442024444 has 144 divisors (see below), whose sum is σ = 120762532800. Its totient is φ = 13731379200.

The previous prime is 44442024377. The next prime is 44442024449.

44442024444 is a `hidden beast` number, since 4 + 4 + 4 + 4 + 202 + 4 + 444 = 666.

44442024444 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×44442024444³ (a number of 33 digits) contains 333 as substring.

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 = 44442024399 and 44442024408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44442024449) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12298782 + ... + 12302394.

It is an arithmetic number, because the mean of its divisors is an integer number (838628700).

Almost surely, 2^44442024444 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 44442024444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60381266400).

44442024444 is an abundant number, since it is smaller than the sum of its proper divisors (76320508356).

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

44442024444 is a wasteful number, since it uses less digits than its factorization.

44442024444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3940 (or 3935 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, 444420 and 24444, that added together give a palindrome (468864).

The spelling of 44442024444 in words is "forty-four billion, four hundred forty-two million, twenty-four thousand, four hundred forty-four".