4233312823680 has 960 divisors, whose sum is σ = 15674300999280. Its totient is φ = 1088361308160.

The previous prime is 4233312823591. The next prime is 4233312823699. The reversal of 4233312823680 is 863282133324.

4233312823680 is a `hidden beast` number, since 4 + 2 + 3 + 3 + 3 + 1 + 282 + 368 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 33333171777 + ... + 33333171903.

Almost surely, 2^{4233312823680} is an apocalyptic number.

4233312823680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4233312823680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7837150499640).

4233312823680 is an abundant number, since it is smaller than the sum of its proper divisors (11440988175600).

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

4233312823680 is an equidigital number, since it uses as much as digits as its factorization.

4233312823680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The spelling of 4233312823680 in words is "four trillion, two hundred thirty-three billion, three hundred twelve million, eight hundred twenty-three thousand, six hundred eighty".