4166131356 has 36 divisors (see below), whose sum is σ = 10729758312. Its totient is φ = 1362507744.

The previous prime is 4166131351. The next prime is 4166131391. The reversal of 4166131356 is 6531316614.

4166131356 is a `hidden beast` number, since 4 + 1 + 6 + 613 + 1 + 35 + 6 = 666.

4166131356 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 4166131356.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4166131351) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1089846 + ... + 1093661.

It is an arithmetic number, because the mean of its divisors is an integer number (298048842).

Almost surely, 2^4166131356 is an apocalyptic number.

It is an amenable number.

4166131356 is an abundant number, since it is smaller than the sum of its proper divisors (6563626956).

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

4166131356 is a wasteful number, since it uses less digits than its factorization.

4166131356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2183570 (or 2183565 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The square root of 4166131356 is about 64545.5758050077. The cubic root of 4166131356 is about 1609.0800598226.

The spelling of 4166131356 in words is "four billion, one hundred sixty-six million, one hundred thirty-one thousand, three hundred fifty-six".