4065200640 has 240 divisors, whose sum is σ = 14277700008. Its totient is φ = 1068761088.

The previous prime is 4065200627. The next prime is 4065200669. The reversal of 4065200640 is 460025604.

It is a happy number.

4065200640 is a `hidden beast` number, since 4 + 0 + 652 + 0 + 0 + 6 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4008409344 + 56791296 = 63312^2 + 7536^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1680712 + ... + 1683128.

Almost surely, 2^4065200640 is an apocalyptic number.

4065200640 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 4065200640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7138850004).

4065200640 is an abundant number, since it is smaller than the sum of its proper divisors (10212499368).

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

4065200640 is a wasteful number, since it uses less digits than its factorization.

4065200640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2519 (or 2500 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 4065200640 is about 63758.9259633504. The cubic root of 4065200640 is about 1595.9795727312.

The spelling of 4065200640 in words is "four billion, sixty-five million, two hundred thousand, six hundred forty".