4295065824 has 288 divisors, whose sum is σ = 15241524480. Its totient is φ = 1162294272.

The previous prime is 4295065787. The next prime is 4295065829. The reversal of 4295065824 is 4285605924.

It is a tau number, because it is divible by the number of its divisors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 4295065824.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4295065829) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1032132 + ... + 1036284.

It is an arithmetic number, because the mean of its divisors is an integer number (52921960).

Almost surely, 2^4295065824 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 4295065824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7620762240).

4295065824 is an abundant number, since it is smaller than the sum of its proper divisors (10946458656).

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

4295065824 is a wasteful number, since it uses less digits than its factorization.

4295065824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4204 (or 4184 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The square root of 4295065824 is about 65536.7517046733. The cubic root of 4295065824 is about 1625.5111069499.

The spelling of 4295065824 in words is "four billion, two hundred ninety-five million, sixty-five thousand, eight hundred twenty-four".