4444270560 has 288 divisors, whose sum is σ = 16290735552. Its totient is φ = 1099284480.

The previous prime is 4444270529. The next prime is 4444270627. The reversal of 4444270560 is 650724444.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 1736802 + ... + 1739358.

It is an arithmetic number, because the mean of its divisors is an integer number (56565054).

Almost surely, 2^4444270560 is an apocalyptic number.

4444270560 is a gapful number since it is divisible by the number (40) 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 4444270560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8145367776).

4444270560 is an abundant number, since it is smaller than the sum of its proper divisors (11846464992).

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

4444270560 is a wasteful number, since it uses less digits than its factorization.

4444270560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2666 (or 2655 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 36.

The square root of 4444270560 is about 66665.3625205774. The cubic root of 4444270560 is about 1644.1199408115.

The spelling of 4444270560 in words is "four billion, four hundred forty-four million, two hundred seventy thousand, five hundred sixty".