4289601312 has 72 divisors (see below), whose sum is σ = 12225393180. Its totient is φ = 1426721280.

The previous prime is 4289601301. The next prime is 4289601331. The reversal of 4289601312 is 2131069824.

4289601312 is a `hidden beast` number, since 4 + 289 + 60 + 1 + 312 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4178846736 + 110754576 = 64644^2 + 10524^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 116614 + ... + 148922.

Almost surely, 2^4289601312 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 4289601312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6112696590).

4289601312 is an abundant number, since it is smaller than the sum of its proper divisors (7935791868).

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

4289601312 is a wasteful number, since it uses less digits than its factorization.

4289601312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32786 (or 32775 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 4289601312 is about 65495.0479960126. The cubic root of 4289601312 is about 1624.8214477742.

The spelling of 4289601312 in words is "four billion, two hundred eighty-nine million, six hundred one thousand, three hundred twelve".