4125749824 has 189 divisors, whose sum is σ = 10113976089. Its totient is φ = 1664893440.

The previous prime is 4125749801. The next prime is 4125749827. The reversal of 4125749824 is 4289475214.

The square root of 4125749824 is 64232.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 3691777600 + 433972224 = 60760^2 + 20832^2 .

It is a super-2 number, since 2×4125749824² = 34043623220472061952, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4125749827) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 111506734 + ... + 111506770.

It is an arithmetic number, because the mean of its divisors is an integer number (53513101).

Almost surely, 2^4125749824 is an apocalyptic number.

4125749824 is the 64232-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4125749824

4125749824 is an abundant number, since it is smaller than the sum of its proper divisors (5988226265).

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

4125749824 is an equidigital number, since it uses as much as digits as its factorization.

4125749824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 77 counting only the distinct ones).

The product of its digits is 645120, while the sum is 46.

The cubic root of 4125749824 is about 1603.8643343114.

The spelling of 4125749824 in words is "four billion, one hundred twenty-five million, seven hundred forty-nine thousand, eight hundred twenty-four".