828742821403440 has 320 divisors, whose sum is σ = 2713953017318400. Its totient is φ = 208621789212672.

The previous prime is 828742821403403. The next prime is 828742821403447. The reversal of 828742821403440 is 44304128247828.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is not an unprimeable number, because it can be changed into a prime (828742821403447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1796669317 + ... + 1797130523.

It is an arithmetic number, because the mean of its divisors is an integer number (8481103179120).

Almost surely, 2^{828742821403440} is an apocalyptic number.

828742821403440 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 828742821403440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1356976508659200).

828742821403440 is an abundant number, since it is smaller than the sum of its proper divisors (1885210195914960).

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

828742821403440 is a wasteful number, since it uses less digits than its factorization.

828742821403440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462644 (or 462638 counting only the distinct ones).

The product of its (nonzero) digits is 22020096, while the sum is 57.

The spelling of 828742821403440 in words is "eight hundred twenty-eight trillion, seven hundred forty-two billion, eight hundred twenty-one million, four hundred three thousand, four hundred forty".