840005074944 has 960 divisors, whose sum is σ = 3064348869120. Its totient is φ = 224737099776.

The previous prime is 840005074913. The next prime is 840005074967. The reversal of 840005074944 is 449470500048.

It is a self number, because there is not a number n which added to its sum of digits gives 840005074944.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4263985054 + ... + 4263985250.

It is an arithmetic number, because the mean of its divisors is an integer number (3192030072).

Almost surely, 2^840005074944 is an apocalyptic number.

840005074944 is a gapful number since it is divisible by the number (84) 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 840005074944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1532174434560).

840005074944 is an abundant number, since it is smaller than the sum of its proper divisors (2224343794176).

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

840005074944 is an frugal number, since it uses more digits than its factorization.

840005074944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 840005074944 in words is "eight hundred forty billion, five million, seventy-four thousand, nine hundred forty-four".