288432282378240 has 6720 divisors, whose sum is σ = 1489779292256640. Its totient is φ = 52331638947840.

The previous prime is 288432282378223. The next prime is 288432282378293. The reversal of 288432282378240 is 42873282234882.

288432282378240 is a `hidden beast` number, since 2 + 8 + 8 + 43 + 2 + 282 + 3 + 78 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (6720).

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

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 441703341754 + ... + 441703342406.

It is an arithmetic number, because the mean of its divisors is an integer number (221693347062).

Almost surely, 2^{288432282378240} is an apocalyptic number.

288432282378240 is a gapful number since it is divisible by the number (20) 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 288432282378240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (744889646128320).

288432282378240 is an abundant number, since it is smaller than the sum of its proper divisors (1201347009878400).

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

288432282378240 is a wasteful number, since it uses less digits than its factorization.

288432282378240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 753 (or 713 counting only the distinct ones).

The product of its (nonzero) digits is 132120576, while the sum is 63.

The spelling of 288432282378240 in words is "two hundred eighty-eight trillion, four hundred thirty-two billion, two hundred eighty-two million, three hundred seventy-eight thousand, two hundred forty".