282120666715440 has 480 divisors, whose sum is σ = 1118105132691456. Its totient is φ = 62383918417920.

The previous prime is 282120666715379. The next prime is 282120666715457. The reversal of 282120666715440 is 44517666021282.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 474203599 + ... + 474798161.

Almost surely, 2^{282120666715440} is an apocalyptic number.

282120666715440 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 282120666715440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (559052566345728).

282120666715440 is an abundant number, since it is smaller than the sum of its proper divisors (835984465976016).

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

282120666715440 is a wasteful number, since it uses less digits than its factorization.

282120666715440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 597657 (or 597648 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 282120666715440 in words is "two hundred eighty-two trillion, one hundred twenty billion, six hundred sixty-six million, seven hundred fifteen thousand, four hundred forty".