4145257248 has 192 divisors, whose sum is σ = 12514424832. Its totient is φ = 1189140480.

The previous prime is 4145257243. The next prime is 4145257283. The reversal of 4145257248 is 8427525414.

4145257248 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (4145257241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2500836 + ... + 2502492.

It is an arithmetic number, because the mean of its divisors is an integer number (65179296).

Almost surely, 2^4145257248 is an apocalyptic number.

4145257248 is a gapful number since it is divisible by the number (48) 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 4145257248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6257212416).

4145257248 is an abundant number, since it is smaller than the sum of its proper divisors (8369167584).

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

4145257248 is a wasteful number, since it uses less digits than its factorization.

4145257248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1807 (or 1799 counting only the distinct ones).

The product of its digits is 358400, while the sum is 42.

The square root of 4145257248 is about 64383.6722158654. The cubic root of 4145257248 is about 1606.3881648163.

The spelling of 4145257248 in words is "four billion, one hundred forty-five million, two hundred fifty-seven thousand, two hundred forty-eight".