4332286848960 has 896 divisors, whose sum is σ = 18533111869440. Its totient is φ = 930023866368.

The previous prime is 4332286848959. The next prime is 4332286848961. The reversal of 4332286848960 is 698486822334.

4332286848960 is a `hidden beast` number, since 4 + 3 + 32 + 2 + 8 + 68 + 489 + 60 = 666.

4332286848960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4332286848959) and next prime (4332286848961).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4332286848961) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 517160292 + ... + 517168668.

It is an arithmetic number, because the mean of its divisors is an integer number (20684276640).

Almost surely, 2^{4332286848960} is an apocalyptic number.

4332286848960 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 4332286848960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9266555934720).

4332286848960 is an abundant number, since it is smaller than the sum of its proper divisors (14200825020480).

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

4332286848960 is a wasteful number, since it uses less digits than its factorization.

4332286848960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8930 (or 8914 counting only the distinct ones).

The product of its (nonzero) digits is 95551488, while the sum is 63.

The spelling of 4332286848960 in words is "four trillion, three hundred thirty-two billion, two hundred eighty-six million, eight hundred forty-eight thousand, nine hundred sixty".