4285225824 has 96 divisors (see below), whose sum is σ = 12349967616. Its totient is φ = 1290232320.

The previous prime is 4285225817. The next prime is 4285225831.

It is a happy number.

4285225824 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (4285225817) and next prime (4285225831).

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 152869 + ... + 178715.

It is an arithmetic number, because the mean of its divisors is an integer number (128645496).

Almost surely, 2^4285225824 is an apocalyptic number.

4285225824 is a gapful number since it is divisible by the number (44) 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 4285225824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6174983808).

4285225824 is an abundant number, since it is smaller than the sum of its proper divisors (8064741792).

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

4285225824 is a wasteful number, since it uses less digits than its factorization.

4285225824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26028 (or 26020 counting only the distinct ones).

The product of its digits is 409600, while the sum is 42.

The square root of 4285225824 is about 65461.6362765246. The cubic root of 4285225824 is about 1624.2688085859.

The spelling of 4285225824 in words is "four billion, two hundred eighty-five million, two hundred twenty-five thousand, eight hundred twenty-four".