4117275688050 has 504 divisors, whose sum is σ = 13479724714500. Its totient is φ = 932413628160.

The previous prime is 4117275688049. The next prime is 4117275688109. The reversal of 4117275688050 is 508865727114.

4117275688050 is a `hidden beast` number, since 4 + 1 + 1 + 7 + 27 + 568 + 8 + 0 + 50 = 666.

4117275688050 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 6 ways, for example, as 992452295961 + 3124823392089 = 996219^2 + 1767717^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 251 ways as a sum of consecutive naturals, for example, 194668876 + ... + 194690024.

Almost surely, 2^{4117275688050} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4117275688050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6739862357250).

4117275688050 is an abundant number, since it is smaller than the sum of its proper divisors (9362449026450).

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

4117275688050 is a wasteful number, since it uses less digits than its factorization.

4117275688050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21302 (or 21275 counting only the distinct ones).

The product of its (nonzero) digits is 3763200, while the sum is 54.

The spelling of 4117275688050 in words is "four trillion, one hundred seventeen billion, two hundred seventy-five million, six hundred eighty-eight thousand, fifty".