4065360000 has 320 divisors, whose sum is σ = 14543094720. Its totient is φ = 999936000.

The previous prime is 4065359993. The next prime is 4065360031. The reversal of 4065360000 is 635604.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3119349 + ... + 3120651.

It is an arithmetic number, because the mean of its divisors is an integer number (45447171).

Almost surely, 2^4065360000 is an apocalyptic number.

4065360000 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 4065360000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7271547360).

4065360000 is an abundant number, since it is smaller than the sum of its proper divisors (10477734720).

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

4065360000 is a wasteful number, since it uses less digits than its factorization.

4065360000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1353 (or 1326 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 4065360000 is about 63760.1756584782. The cubic root of 4065360000 is about 1596.0004271329. Note that the first 3 decimals are identical.

Adding to 4065360000 its reverse (635604), we get a palindrome (4065995604).

The spelling of 4065360000 in words is "four billion, sixty-five million, three hundred sixty thousand".