10444007071001 has 16 divisors (see below), whose sum is σ = 12185316374400. Its totient is φ = 8947804587120.

The previous prime is 10444007070979. The next prime is 10444007071013. The reversal of 10444007071001 is 10017070044401.

It is a de Polignac number, because none of the positive numbers 2^k-10444007071001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10444007071061) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6413366 + ... + 7875231.

It is an arithmetic number, because the mean of its divisors is an integer number (761582273400).

Almost surely, 2^{10444007071001} is an apocalyptic number.

It is an amenable number.

10444007071001 is a deficient number, since it is larger than the sum of its proper divisors (1741309303399).

10444007071001 is an equidigital number, since it uses as much as digits as its factorization.

10444007071001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14290749 (or 14290735 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 29.

The spelling of 10444007071001 in words is "ten trillion, four hundred forty-four billion, seven million, seventy-one thousand, one".