4464126671104 has 243 divisors, whose sum is σ = 9490416593553. Its totient is φ = 2095674771456.

The previous prime is 4464126671089. The next prime is 4464126671107. The reversal of 4464126671104 is 4011766214644.

The square root of 4464126671104 is 2112848.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 3994561849600 + 469564821504 = 1998640^2 + 685248^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4464126671107) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 53784658647 + ... + 53784658729.

Almost surely, 2^{4464126671104} is an apocalyptic number.

4464126671104 is the 2112848-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4464126671104

4464126671104 is an abundant number, since it is smaller than the sum of its proper divisors (5026289922449).

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

4464126671104 is an frugal number, since it uses more digits than its factorization.

4464126671104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 46.

The spelling of 4464126671104 in words is "four trillion, four hundred sixty-four billion, one hundred twenty-six million, six hundred seventy-one thousand, one hundred four".