840634115328 has 432 divisors, whose sum is σ = 2908682804160. Its totient is φ = 238776201216.

The previous prime is 840634115311. The next prime is 840634115369. The reversal of 840634115328 is 823511436048.

840634115328 is a `hidden beast` number, since 8 + 4 + 0 + 634 + 1 + 1 + 5 + 3 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-3 number, since 3×840634115328³ (a number of 37 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 58585851 + ... + 58600197.

Almost surely, 2^840634115328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 840634115328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1454341402080).

840634115328 is an abundant number, since it is smaller than the sum of its proper divisors (2068048688832).

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

840634115328 is a wasteful number, since it uses less digits than its factorization.

840634115328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14559 (or 14532 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 840634115328 in words is "eight hundred forty billion, six hundred thirty-four million, one hundred fifteen thousand, three hundred twenty-eight".