834856628240 has 20 divisors (see below), whose sum is σ = 1941041660844. Its totient is φ = 333942651264.

The previous prime is 834856628167. The next prime is 834856628251. The reversal of 834856628240 is 42826658438.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 117081677584 + 717774950656 = 342172^2 + 847216^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a Smith number, since the sum of its digits (56) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5217853847 + ... + 5217854006.

Almost surely, 2^834856628240 is an apocalyptic number.

834856628240 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

834856628240 is an abundant number, since it is smaller than the sum of its proper divisors (1106185032604).

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

834856628240 is a wasteful number, since it uses less digits than its factorization.

834856628240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10435707866 (or 10435707860 counting only the distinct ones).

The product of its (nonzero) digits is 17694720, while the sum is 56.

The spelling of 834856628240 in words is "eight hundred thirty-four billion, eight hundred fifty-six million, six hundred twenty-eight thousand, two hundred forty".