4442005847160 has 320 divisors, whose sum is σ = 17066348006400. Its totient is φ = 1015113026304.

The previous prime is 4442005847131. The next prime is 4442005847173. The reversal of 4442005847160 is 617485002444.

4442005847160 is a `hidden beast` number, since 4 + 4 + 4 + 2 + 0 + 0 + 584 + 7 + 1 + 60 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 133863451 + ... + 133896629.

It is an arithmetic number, because the mean of its divisors is an integer number (53332337520).

Almost surely, 2^{4442005847160} is an apocalyptic number.

4442005847160 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 4442005847160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8533174003200).

4442005847160 is an abundant number, since it is smaller than the sum of its proper divisors (12624342159240).

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

4442005847160 is a wasteful number, since it uses less digits than its factorization.

4442005847160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39112 (or 39099 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 45.

The spelling of 4442005847160 in words is "four trillion, four hundred forty-two billion, five million, eight hundred forty-seven thousand, one hundred sixty".