844981904340 has 432 divisors, whose sum is σ = 3096236903760. Its totient is φ = 185841008640.

The previous prime is 844981904339. The next prime is 844981904357. The reversal of 844981904340 is 43409189448.

844981904340 is a `hidden beast` number, since 8 + 4 + 49 + 81 + 90 + 434 + 0 = 666.

844981904340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 350601357456 + 494380546884 = 592116^2 + 703122^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 26382256 + ... + 26414264.

It is an arithmetic number, because the mean of its divisors is an integer number (7167215055).

Almost surely, 2^844981904340 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 844981904340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1548118451880).

844981904340 is an abundant number, since it is smaller than the sum of its proper divisors (2251254999420).

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

844981904340 is a wasteful number, since it uses less digits than its factorization.

844981904340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32152 (or 32140 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 844981904340 in words is "eight hundred forty-four billion, nine hundred eighty-one million, nine hundred four thousand, three hundred forty".