4233253280256 has 1920 divisors, whose sum is σ = 17916753254400. Its totient is φ = 961009090560.

The previous prime is 4233253280233. The next prime is 4233253280261. The reversal of 4233253280256 is 6520823523324.

4233253280256 is a `hidden beast` number, since 4 + 2 + 3 + 32 + 532 + 80 + 2 + 5 + 6 = 666.

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 191 ways as a sum of consecutive naturals, for example, 2366267010 + ... + 2366268798.

It is an arithmetic number, because the mean of its divisors is an integer number (9331642320).

Almost surely, 2^{4233253280256} 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 4233253280256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8958376627200).

4233253280256 is an abundant number, since it is smaller than the sum of its proper divisors (13683499974144).

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

4233253280256 is a wasteful number, since it uses less digits than its factorization.

4233253280256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1872 (or 1844 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 45.

The spelling of 4233253280256 in words is "four trillion, two hundred thirty-three billion, two hundred fifty-three million, two hundred eighty thousand, two hundred fifty-six".