4441495680 has 192 divisors, whose sum is σ = 15905635200. Its totient is φ = 1184357376.

The previous prime is 4441495631. The next prime is 4441495687. The reversal of 4441495680 is 865941444.

4441495680 is a `hidden beast` number, since 4 + 4 + 41 + 49 + 568 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4441495687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 141241 + ... + 169799.

It is an arithmetic number, because the mean of its divisors is an integer number (82841850).

Almost surely, 2^4441495680 is an apocalyptic number.

4441495680 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 4441495680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7952817600).

4441495680 is an abundant number, since it is smaller than the sum of its proper divisors (11464139520).

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

4441495680 is an equidigital number, since it uses as much as digits as its factorization.

4441495680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28593 (or 28569 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 4441495680 is about 66644.5472638235. The cubic root of 4441495680 is about 1643.7776885176. Note that the first 3 decimals are identical.

The spelling of 4441495680 in words is "four billion, four hundred forty-one million, four hundred ninety-five thousand, six hundred eighty".