4125041440 has 96 divisors (see below), whose sum is σ = 10511118576. Its totient is φ = 1520762880.

The previous prime is 4125041411. The next prime is 4125041507. The reversal of 4125041440 is 441405214.

It can be written as a sum of positive squares in 8 ways, for example, as 673713936 + 3451327504 = 25956^2 + 58748^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1981200 + ... + 1983280.

Almost surely, 2^4125041440 is an apocalyptic number.

4125041440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4125041440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5255559288).

4125041440 is an abundant number, since it is smaller than the sum of its proper divisors (6386077136).

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

4125041440 is a wasteful number, since it uses less digits than its factorization.

4125041440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3062 (or 3054 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 25.

The square root of 4125041440 is about 64226.4855024779. The cubic root of 4125041440 is about 1603.7725354940.

Adding to 4125041440 its reverse (441405214), we get a palindrome (4566446654).

The spelling of 4125041440 in words is "four billion, one hundred twenty-five million, forty-one thousand, four hundred forty".