4065025536 has 480 divisors, whose sum is σ = 14299084800. Its totient is φ = 1094860800.

The previous prime is 4065025529. The next prime is 4065025579. The reversal of 4065025536 is 6355205604.

It is a happy number.

4065025536 is a `hidden beast` number, since 40 + 65 + 0 + 2 + 553 + 6 = 666.

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 4065025536.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20427165 + ... + 20427363.

It is an arithmetic number, because the mean of its divisors is an integer number (29789760).

Almost surely, 2^4065025536 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 4065025536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7149542400).

4065025536 is an abundant number, since it is smaller than the sum of its proper divisors (10234059264).

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

4065025536 is a wasteful number, since it uses less digits than its factorization.

4065025536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The square root of 4065025536 is about 63757.5527761221. The cubic root of 4065025536 is about 1595.9566573867.

The spelling of 4065025536 in words is "four billion, sixty-five million, twenty-five thousand, five hundred thirty-six".