4164881607 has 48 divisors (see below), whose sum is σ = 6374047680. Its totient is φ = 2615348736.

The previous prime is 4164881599. The next prime is 4164881621. The reversal of 4164881607 is 7061884614.

4164881607 is a `hidden beast` number, since 4 + 1 + 6 + 488 + 160 + 7 = 666.

4164881607 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 4164881607 - 2³ = 4164881599 is a prime.

It is a super-3 number, since 3×4164881607³ (a number of 30 digits) contains 333 as substring.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4164881687) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4444443 + ... + 4445379.

It is an arithmetic number, because the mean of its divisors is an integer number (132792660).

Almost surely, 2^4164881607 is an apocalyptic number.

4164881607 is a deficient number, since it is larger than the sum of its proper divisors (2209166073).

4164881607 is a wasteful number, since it uses less digits than its factorization.

4164881607 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1272 (or 1269 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 4164881607 is about 64535.8939428284. The cubic root of 4164881607 is about 1608.9191473647.

The spelling of 4164881607 in words is "four billion, one hundred sixty-four million, eight hundred eighty-one thousand, six hundred seven".