282286778941440 has 2720 divisors, whose sum is σ = 1263442517479296. Its totient is φ = 58706834227200.

The previous prime is 282286778941403. The next prime is 282286778941441. The reversal of 282286778941440 is 44149877682282.

282286778941440 is a `hidden beast` number, since 2 + 8 + 2 + 2 + 8 + 67 + 7 + 89 + 41 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (282286778941441) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 176319036640 + ... + 176319038240.

Almost surely, 2^{282286778941440} is an apocalyptic number.

282286778941440 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 282286778941440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (631721258739648).

282286778941440 is an abundant number, since it is smaller than the sum of its proper divisors (981155738537856).

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

282286778941440 is an equidigital number, since it uses as much as digits as its factorization.

282286778941440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1743 (or 1704 counting only the distinct ones).

The product of its (nonzero) digits is 693633024, while the sum is 72.

The spelling of 282286778941440 in words is "two hundred eighty-two trillion, two hundred eighty-six billion, seven hundred seventy-eight million, nine hundred forty-one thousand, four hundred forty".