282842656669440 has 1440 divisors, whose sum is σ = 1165094057487360. Its totient is φ = 64444366651392.

The previous prime is 282842656669301. The next prime is 282842656669571. The reversal of 282842656669440 is 44966656248282.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 59433209781 + ... + 59433214539.

Almost surely, 2^{282842656669440} is an apocalyptic number.

282842656669440 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 282842656669440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (582547028743680).

282842656669440 is an abundant number, since it is smaller than the sum of its proper divisors (882251400817920).

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

282842656669440 is an frugal number, since it uses more digits than its factorization.

282842656669440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5151 (or 5113 counting only the distinct ones).

The product of its (nonzero) digits is 1911029760, while the sum is 72.

The spelling of 282842656669440 in words is "two hundred eighty-two trillion, eight hundred forty-two billion, six hundred fifty-six million, six hundred sixty-nine thousand, four hundred forty".