4044213312444 has 144 divisors (see below), whose sum is σ = 11090168369280. Its totient is φ = 1237610004480.

The previous prime is 4044213312443. The next prime is 4044213312493. The reversal of 4044213312444 is 4442133124404.

4044213312444 is a `hidden beast` number, since 40 + 4 + 42 + 1 + 331 + 244 + 4 = 666.

It is a super-2 number, since 2×4044213312444² (a number of 26 digits) contains 22 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 = 4044213312399 and 4044213312408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4044213312443) 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, 198693372 + ... + 198713724.

It is an arithmetic number, because the mean of its divisors is an integer number (77015058120).

Almost surely, 2^{4044213312444} 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 4044213312444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5545084184640).

4044213312444 is an abundant number, since it is smaller than the sum of its proper divisors (7045955056836).

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

4044213312444 is a wasteful number, since it uses less digits than its factorization.

4044213312444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28340 (or 28335 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 4044213312444 its reverse (4442133124404), we get a palindrome (8486346436848).

The spelling of 4044213312444 in words is "four trillion, forty-four billion, two hundred thirteen million, three hundred twelve thousand, four hundred forty-four".