44066044066044 has 864 divisors, whose sum is σ = 143043429295872. Its totient is φ = 10521935424000.

The previous prime is 44066044066019. The next prime is 44066044066049.

44066044066044 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 44066044065984 and 44066044066002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44066044066049) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 41927729319 + ... + 41927730369.

It is an arithmetic number, because the mean of its divisors is an integer number (165559524648).

Almost surely, 2^{44066044066044} is an apocalyptic number.

44066044066044 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44066044066044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71521714647936).

44066044066044 is an abundant number, since it is smaller than the sum of its proper divisors (98977385229828).

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

44066044066044 is a wasteful number, since it uses less digits than its factorization.

44066044066044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1448 (or 1404 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 48.

The spelling of 44066044066044 in words is "forty-four trillion, sixty-six billion, forty-four million, sixty-six thousand, forty-four", and thus it is an eban number.