4005711360 has 640 divisors, whose sum is σ = 17253181440. Its totient is φ = 859963392.

The previous prime is 4005711329. The next prime is 4005711419. The reversal of 4005711360 is 631175004.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8225037 + ... + 8225523.

It is an arithmetic number, because the mean of its divisors is an integer number (26958096).

Almost surely, 2^4005711360 is an apocalyptic number.

4005711360 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 4005711360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8626590720).

4005711360 is an abundant number, since it is smaller than the sum of its proper divisors (13247470080).

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

4005711360 is a wasteful number, since it uses less digits than its factorization.

4005711360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 543 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 4005711360 is about 63290.6893626543. The cubic root of 4005711360 is about 1588.1562109061.

Adding to 4005711360 its reverse (631175004), we get a palindrome (4636886364).

The spelling of 4005711360 in words is "four billion, five million, seven hundred eleven thousand, three hundred sixty".