4442100031125 has 80 divisors (see below), whose sum is σ = 8282485651440. Its totient is φ = 2368806768000.

The previous prime is 4442100031123. The next prime is 4442100031129. The reversal of 4442100031125 is 5211300012444.

4442100031125 is a `hidden beast` number, since 4 + 442 + 100 + 0 + 3 + 112 + 5 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 2620231776369 + 1821868254756 = 1618713^2 + 1349766^2 .

It is not a de Polignac number, because 4442100031125 - 2¹ = 4442100031123 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4442100031123) 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 79 ways as a sum of consecutive naturals, for example, 90503091 + ... + 90552159.

It is an arithmetic number, because the mean of its divisors is an integer number (103531070643).

Almost surely, 2^{4442100031125} is an apocalyptic number.

4442100031125 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4442100031125 is a deficient number, since it is larger than the sum of its proper divisors (3840385620315).

4442100031125 is an equidigital number, since it uses as much as digits as its factorization.

4442100031125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58037 (or 58018 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 4442100031125 its reverse (5211300012444), we get a palindrome (9653400043569).

The spelling of 4442100031125 in words is "four trillion, four hundred forty-two billion, one hundred million, thirty-one thousand, one hundred twenty-five".