4048257024 has 384 divisors, whose sum is σ = 13985693280. Its totient is φ = 1104150528.

The previous prime is 4048257011. The next prime is 4048257029. The reversal of 4048257024 is 4207528404.

4048257024 is a `hidden beast` number, since 4 + 0 + 4 + 82 + 570 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 4048257024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4048257029) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 76382182 + ... + 76382234.

Almost surely, 2^4048257024 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 4048257024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6992846640).

4048257024 is an abundant number, since it is smaller than the sum of its proper divisors (9937436256).

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

4048257024 is an equidigital number, since it uses as much as digits as its factorization.

4048257024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 36.

The square root of 4048257024 is about 63625.9147203402. The cubic root of 4048257024 is about 1593.7591557306.

The spelling of 4048257024 in words is "four billion, forty-eight million, two hundred fifty-seven thousand, twenty-four".