4288312220256 has 156 divisors (see below), whose sum is σ = 12663964303452. Its totient is φ = 1429431738048.

The previous prime is 4288312220209. The next prime is 4288312220321. The reversal of 4288312220256 is 6520222138824.

4288312220256 is a `hidden beast` number, since 4 + 2 + 88 + 312 + 2 + 2 + 0 + 256 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 25 ways as a sum of consecutive naturals, for example, 16880031 + ... + 17132193.

Almost surely, 2^{4288312220256} 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 4288312220256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6331982151726).

4288312220256 is an abundant number, since it is smaller than the sum of its proper divisors (8375652083196).

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

4288312220256 is an frugal number, since it uses more digits than its factorization.

4288312220256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252209 (or 252168 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 4288312220256 in words is "four trillion, two hundred eighty-eight billion, three hundred twelve million, two hundred twenty thousand, two hundred fifty-six".