282821042125440 has 1152 divisors, whose sum is σ = 1223896408534800. Its totient is φ = 59650532573184.

The previous prime is 282821042125399. The next prime is 282821042125451. The reversal of 282821042125440 is 44521240128282.

282821042125440 is a `hidden beast` number, since 2 + 8 + 2 + 8 + 210 + 421 + 2 + 5 + 4 + 4 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 106358299016256 + 176462743109184 = 10313016^2 + 13283928^2 .

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 11407281684 + ... + 11407306476.

Almost surely, 2^{282821042125440} is an apocalyptic number.

282821042125440 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 282821042125440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (611948204267400).

282821042125440 is an abundant number, since it is smaller than the sum of its proper divisors (941075366409360).

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

282821042125440 is a wasteful number, since it uses less digits than its factorization.

282821042125440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27954 (or 27932 counting only the distinct ones).

The product of its (nonzero) digits is 655360, while the sum is 45.

The spelling of 282821042125440 in words is "two hundred eighty-two trillion, eight hundred twenty-one billion, forty-two million, one hundred twenty-five thousand, four hundred forty".