4404644464044 has 144 divisors (see below), whose sum is σ = 11514982187520. Its totient is φ = 1309062691200.

The previous prime is 4404644463977. The next prime is 4404644464057.

4404644464044 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 4404644463984 and 4404644464002.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36863262 + ... + 36982554.

It is an arithmetic number, because the mean of its divisors is an integer number (79965154080).

Almost surely, 2^{4404644464044} is an apocalyptic number.

4404644464044 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 4404644464044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5757491093760).

4404644464044 is an abundant number, since it is smaller than the sum of its proper divisors (7110337723476).

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

4404644464044 is a wasteful number, since it uses less digits than its factorization.

4404644464044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119812 (or 119799 counting only the distinct ones).

The product of its (nonzero) digits is 9437184, while the sum is 48.

The spelling of 4404644464044 in words is "four trillion, four hundred four billion, six hundred forty-four million, four hundred sixty-four thousand, forty-four".