282095027040 has 768 divisors, whose sum is σ = 1004133231360. Its totient is φ = 66479063040.

The previous prime is 282095027029. The next prime is 282095027069. The reversal of 282095027040 is 40720590282.

It is a self number, because there is not a number n which added to its sum of digits gives 282095027040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4624508610 + ... + 4624508670.

It is an arithmetic number, because the mean of its divisors is an integer number (1307465145).

Almost surely, 2^282095027040 is an apocalyptic number.

282095027040 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 282095027040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502066615680).

282095027040 is an abundant number, since it is smaller than the sum of its proper divisors (722038204320).

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

282095027040 is a wasteful number, since it uses less digits than its factorization.

282095027040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The spelling of 282095027040 in words is "two hundred eighty-two billion, ninety-five million, twenty-seven thousand, forty".