840441837312 has 864 divisors, whose sum is σ = 3317644721664. Its totient is φ = 205435699200.

The previous prime is 840441837311. The next prime is 840441837337. The reversal of 840441837312 is 213738144048.

It is a tau number, because it is divible by the number of its divisors (864).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (840441837311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 81425112 + ... + 81435432.

It is an arithmetic number, because the mean of its divisors is an integer number (3839866576).

Almost surely, 2^840441837312 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 840441837312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1658822360832).

840441837312 is an abundant number, since it is smaller than the sum of its proper divisors (2477202884352).

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

840441837312 is a wasteful number, since it uses less digits than its factorization.

840441837312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10387 (or 10361 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 840441837312 in words is "eight hundred forty billion, four hundred forty-one million, eight hundred thirty-seven thousand, three hundred twelve".