6441125000 has 84 divisors (see below), whose sum is σ = 15162989505. Its totient is φ = 2565100000.

The previous prime is 6441124973. The next prime is 6441125003. The reversal of 6441125000 is 5211446.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 4 ways, for example, as 1098392164 + 5342732836 = 33142^2 + 73094^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=56750.

It is not an unprimeable number, because it can be changed into a prime (6441125003) 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 20 ways as a sum of consecutive naturals, for example, 28374887 + ... + 28375113.

Almost surely, 2^6441125000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6441125000

6441125000 is an abundant number, since it is smaller than the sum of its proper divisors (8721864505).

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

6441125000 is an frugal number, since it uses more digits than its factorization.

6441125000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 6441125000 is about 80256.6196646731. The cubic root of 6441125000 is about 1860.6038236882.

Adding to 6441125000 its reverse (5211446), we get a palindrome (6446336446).

The spelling of 6441125000 in words is "six billion, four hundred forty-one million, one hundred twenty-five thousand".