4441981417000 has 64 divisors (see below), whose sum is σ = 10752658534800. Its totient is φ = 1715523846400.

The previous prime is 4441981416997. The next prime is 4441981417001. The reversal of 4441981417000 is 7141891444.

It can be written as a sum of positive squares in 8 ways, for example, as 333568622916 + 4108412794084 = 577554^2 + 2026922^2 .

It is not an unprimeable number, because it can be changed into a prime (4441981417001) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 76556887 + ... + 76614886.

Almost surely, 2^{4441981417000} is an apocalyptic number.

4441981417000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4441981417000 is an abundant number, since it is smaller than the sum of its proper divisors (6310677117800).

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

4441981417000 is a wasteful number, since it uses less digits than its factorization.

4441981417000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153171823 (or 153171809 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 43.

The spelling of 4441981417000 in words is "four trillion, four hundred forty-one billion, nine hundred eighty-one million, four hundred seventeen thousand".