4072073771844 has 243 divisors, whose sum is σ = 11442615005367. Its totient is φ = 1220448902400.

The previous prime is 4072073771827. The next prime is 4072073771881. The reversal of 4072073771844 is 4481773702704.

The square root of 4072073771844 is 2017938.

It is a perfect power (a square), and thus also a powerful number.

4072073771844 is a `hidden beast` number, since 407 + 20 + 7 + 37 + 7 + 184 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2712312548100 + 1359761223744 = 1646910^2 + 1166088^2 .

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 80 ways as a sum of consecutive naturals, for example, 6453365409 + ... + 6453366039.

Almost surely, 2^{4072073771844} is an apocalyptic number.

4072073771844 is the 2017938-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4072073771844

4072073771844 is an abundant number, since it is smaller than the sum of its proper divisors (7370541233523).

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

4072073771844 is a wasteful number, since it uses less digits than its factorization.

4072073771844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1380 (or 690 counting only the distinct ones).

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

The spelling of 4072073771844 in words is "four trillion, seventy-two billion, seventy-three million, seven hundred seventy-one thousand, eight hundred forty-four".