4048523640 has 256 divisors, whose sum is σ = 15677568000. Its totient is φ = 910103040.

The previous prime is 4048523623. The next prime is 4048523651. The reversal of 4048523640 is 463258404.

4048523640 is a `hidden beast` number, since 4 + 0 + 4 + 8 + 5 + 2 + 3 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 4048523595 and 4048523604.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 456771 + ... + 465549.

It is an arithmetic number, because the mean of its divisors is an integer number (61240500).

Almost surely, 2^4048523640 is an apocalyptic number.

4048523640 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 4048523640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7838784000).

4048523640 is an abundant number, since it is smaller than the sum of its proper divisors (11629044360).

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

4048523640 is a wasteful number, since it uses less digits than its factorization.

4048523640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8867 (or 8857 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 4048523640 is about 63628.0098698678. The cubic root of 4048523640 is about 1593.7941429988.

The spelling of 4048523640 in words is "four billion, forty-eight million, five hundred twenty-three thousand, six hundred forty".