4007444044001 has 8 divisors (see below), whose sum is σ = 4219913644800. Its totient is φ = 3795129592560.

The previous prime is 4007444043973. The next prime is 4007444044033. The reversal of 4007444044001 is 1004404447004.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-4007444044001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4007444044301) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38734310 + ... + 38837631.

It is an arithmetic number, because the mean of its divisors is an integer number (527489205600).

Almost surely, 2^{4007444044001} is an apocalyptic number.

It is an amenable number.

4007444044001 is a deficient number, since it is larger than the sum of its proper divisors (212469600799).

4007444044001 is a wasteful number, since it uses less digits than its factorization.

4007444044001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77574679.

The product of its (nonzero) digits is 28672, while the sum is 32.

The spelling of 4007444044001 in words is "four trillion, seven billion, four hundred forty-four million, forty-four thousand, one".