4442101316631 has 96 divisors (see below), whose sum is σ = 7098331968000. Its totient is φ = 2654555016960.

The previous prime is 4442101316621. The next prime is 4442101316657. The reversal of 4442101316631 is 1366131012444.

4442101316631 is a `hidden beast` number, since 4 + 4 + 4 + 2 + 1 + 0 + 1 + 3 + 16 + 631 = 666.

It is not a de Polignac number, because 4442101316631 - 2²⁵ = 4442067762199 is a prime.

It is a super-2 number, since 2×4442101316631² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4442101316621) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2007274681 + ... + 2007276893.

It is an arithmetic number, because the mean of its divisors is an integer number (73940958000).

Almost surely, 2^{4442101316631} is an apocalyptic number.

4442101316631 is a deficient number, since it is larger than the sum of its proper divisors (2656230651369).

4442101316631 is a wasteful number, since it uses less digits than its factorization.

4442101316631 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3301 (or 3298 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 4442101316631 in words is "four trillion, four hundred forty-two billion, one hundred one million, three hundred sixteen thousand, six hundred thirty-one".