4265958816 has 432 divisors, whose sum is σ = 14799257928. Its totient is φ = 1161216000.

The previous prime is 4265958791. The next prime is 4265958839. The reversal of 4265958816 is 6188595624.

4265958816 is a `hidden beast` number, since 4 + 2 + 6 + 59 + 588 + 1 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3770451216 + 495507600 = 61404^2 + 22260^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 42237166 + ... + 42237266.

Almost surely, 2^4265958816 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 4265958816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7399628964).

4265958816 is an abundant number, since it is smaller than the sum of its proper divisors (10533299112).

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

4265958816 is a wasteful number, since it uses less digits than its factorization.

4265958816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 227 counting only the distinct ones).

The product of its digits is 4147200, while the sum is 54.

The square root of 4265958816 is about 65314.3078965092. The cubic root of 4265958816 is about 1621.8308336353.

It can be divided in two parts, 42659 and 58816, that added together give a triangular number (101475 = T₄₅₀).

The spelling of 4265958816 in words is "four billion, two hundred sixty-five million, nine hundred fifty-eight thousand, eight hundred sixteen".