4166588272 has 40 divisors (see below), whose sum is σ = 10064748672. Its totient is φ = 1623345600.

The previous prime is 4166588219. The next prime is 4166588317. The reversal of 4166588272 is 2728856614.

4166588272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (49) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1689754 + ... + 1692217.

Almost surely, 2^4166588272 is an apocalyptic number.

It is an amenable number.

4166588272 is an abundant number, since it is smaller than the sum of its proper divisors (5898160400).

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

4166588272 is a wasteful number, since it uses less digits than its factorization.

4166588272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3381997 (or 3381991 counting only the distinct ones).

The product of its digits is 1290240, while the sum is 49.

The square root of 4166588272 is about 64549.1151914571. The cubic root of 4166588272 is about 1609.1388823836.

The spelling of 4166588272 in words is "four billion, one hundred sixty-six million, five hundred eighty-eight thousand, two hundred seventy-two".