4205916288 has 96 divisors (see below), whose sum is σ = 13831983360. Its totient is φ = 1201688064.

The previous prime is 4205916287. The next prime is 4205916391. The reversal of 4205916288 is 8826195024.

4205916288 is a `hidden beast` number, since 420 + 5 + 91 + 62 + 88 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (4205916287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 252720 + ... + 268847.

It is an arithmetic number, because the mean of its divisors is an integer number (144083160).

Almost surely, 2^4205916288 is an apocalyptic number.

4205916288 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

4205916288 is an abundant number, since it is smaller than the sum of its proper divisors (9626067072).

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

4205916288 is a wasteful number, since it uses less digits than its factorization.

4205916288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 521594 (or 521579 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 4205916288 is about 64853.0360738801. The cubic root of 4205916288 is about 1614.1858706261.

The spelling of 4205916288 in words is "four billion, two hundred five million, nine hundred sixteen thousand, two hundred eighty-eight".