841028348160 has 3456 divisors, whose sum is σ = 4284213534720. Its totient is φ = 153280512000.

The previous prime is 841028348129. The next prime is 841028348161. The reversal of 841028348160 is 61843820148.

841028348160 is a `hidden beast` number, since 8 + 4 + 102 + 8 + 3 + 481 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

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

It is not an unprimeable number, because it can be changed into a prime (841028348161) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 5569724085 + ... + 5569724235.

It is an arithmetic number, because the mean of its divisors is an integer number (1239645120).

Almost surely, 2^841028348160 is an apocalyptic number.

841028348160 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 841028348160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2142106767360).

841028348160 is an abundant number, since it is smaller than the sum of its proper divisors (3443185186560).

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

841028348160 is a wasteful number, since it uses less digits than its factorization.

841028348160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 841028348160 in words is "eight hundred forty-one billion, twenty-eight million, three hundred forty-eight thousand, one hundred sixty".