4331282964480 has 336 divisors, whose sum is σ = 15023908391544. Its totient is φ = 1154261975040.

The previous prime is 4331282964413. The next prime is 4331282964487. The reversal of 4331282964480 is 844692821334.

It is a happy number.

4331282964480 is a `hidden beast` number, since 4 + 3 + 31 + 2 + 82 + 96 + 448 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3773166391296 + 558116573184 = 1942464^2 + 747072^2 .

It is not an unprimeable number, because it can be changed into a prime (4331282964487) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 796628322 + ... + 796633758.

Almost surely, 2^{4331282964480} is an apocalyptic number.

4331282964480 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 4331282964480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7511954195772).

4331282964480 is an abundant number, since it is smaller than the sum of its proper divisors (10692625427064).

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

4331282964480 is a wasteful number, since it uses less digits than its factorization.

4331282964480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7635 (or 7608 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 54.

The spelling of 4331282964480 in words is "four trillion, three hundred thirty-one billion, two hundred eighty-two million, nine hundred sixty-four thousand, four hundred eighty".