4288209231312 has 120 divisors (see below), whose sum is σ = 12070789086720. Its totient is φ = 1421102914560.

The previous prime is 4288209231269. The next prime is 4288209231343. The reversal of 4288209231312 is 2131329028824.

4288209231312 is a `hidden beast` number, since 4 + 2 + 88 + 20 + 9 + 231 + 312 = 666.

4288209231312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48830739 + ... + 48918477.

It is an arithmetic number, because the mean of its divisors is an integer number (100589909056).

Almost surely, 2^{4288209231312} 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 4288209231312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6035394543360).

4288209231312 is an abundant number, since it is smaller than the sum of its proper divisors (7782579855408).

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

4288209231312 is a wasteful number, since it uses less digits than its factorization.

4288209231312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89721 (or 89712 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

It can be divided in two parts, 4288209 and 231312, that added together give a triangular number (4519521 = T₃₀₀₆).

The spelling of 4288209231312 in words is "four trillion, two hundred eighty-eight billion, two hundred nine million, two hundred thirty-one thousand, three hundred twelve".