4259128644 has 81 divisors (see below), whose sum is σ = 10989383223. Its totient is φ = 1390863744.

The previous prime is 4259128637. The next prime is 4259128651. The reversal of 4259128644 is 4468219524.

It is a happy number.

The square root of 4259128644 is 65262.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (4259128637) and next prime (4259128651).

It can be written as a sum of positive squares in 4 ways, for example, as 551780100 + 3707348544 = 23490^2 + 60888^2 .

It is a super-2 number, since 2×4259128644² = 36280353612282557472, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4259128644.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 28584682 + ... + 28584830.

Almost surely, 2^4259128644 is an apocalyptic number.

4259128644 is the 65262-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4259128644

4259128644 is an abundant number, since it is smaller than the sum of its proper divisors (6730254579).

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

4259128644 is a wasteful number, since it uses less digits than its factorization.

4259128644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 454 (or 227 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The cubic root of 4259128644 is about 1620.9648070870.

The spelling of 4259128644 in words is "four billion, two hundred fifty-nine million, one hundred twenty-eight thousand, six hundred forty-four".