844177772340 has 192 divisors, whose sum is σ = 3178081267200. Its totient is φ = 181604616192.

The previous prime is 844177772297. The next prime is 844177772369. The reversal of 844177772340 is 43277771448.

844177772340 is a `hidden beast` number, since 8 + 441 + 77 + 77 + 23 + 40 = 666.

It is a super-2 number, since 2×844177772340² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 6504195 + ... + 6632714.

It is an arithmetic number, because the mean of its divisors is an integer number (16552506600).

Almost surely, 2^844177772340 is an apocalyptic number.

It is an amenable number.

844177772340 is an abundant number, since it is smaller than the sum of its proper divisors (2333903494860).

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

844177772340 is a wasteful number, since it uses less digits than its factorization.

844177772340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13136951 (or 13136943 counting only the distinct ones).

The product of its (nonzero) digits is 7375872, while the sum is 54.

The spelling of 844177772340 in words is "eight hundred forty-four billion, one hundred seventy-seven million, seven hundred seventy-two thousand, three hundred forty".