854282409120 has 1728 divisors, whose sum is σ = 3733648079616. Its totient is φ = 176783523840.

The previous prime is 854282409109. The next prime is 854282409193. The reversal of 854282409120 is 21904282458.

854282409120 is a `hidden beast` number, since 8 + 5 + 42 + 82 + 409 + 120 = 666.

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 287 ways as a sum of consecutive naturals, for example, 2461908787 + ... + 2461909133.

It is an arithmetic number, because the mean of its divisors is an integer number (2160675972).

Almost surely, 2^854282409120 is an apocalyptic number.

854282409120 is a gapful number since it is divisible by the number (80) 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 854282409120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1866824039808).

854282409120 is an abundant number, since it is smaller than the sum of its proper divisors (2879365670496).

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

854282409120 is a wasteful number, since it uses less digits than its factorization.

854282409120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 483 (or 465 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 854282409120 in words is "eight hundred fifty-four billion, two hundred eighty-two million, four hundred nine thousand, one hundred twenty".