4006773771 has 64 divisors (see below), whose sum is σ = 7367033856. Its totient is φ = 1869350400.

The previous prime is 4006773737. The next prime is 4006773779. The reversal of 4006773771 is 1773776004.

It is not a de Polignac number, because 4006773771 - 2²¹ = 4004676619 is a prime.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (4006773779) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 93081 + ... + 129141.

It is an arithmetic number, because the mean of its divisors is an integer number (115109904).

Almost surely, 2^4006773771 is an apocalyptic number.

4006773771 is a deficient number, since it is larger than the sum of its proper divisors (3360260085).

4006773771 is a wasteful number, since it uses less digits than its factorization.

4006773771 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36132.

The product of its (nonzero) digits is 172872, while the sum is 42.

The square root of 4006773771 is about 63299.0819127734. The cubic root of 4006773771 is about 1588.2966042370.

It can be divided in two parts, 4006 and 773771, that added together give a palindrome (777777).

The spelling of 4006773771 in words is "four billion, six million, seven hundred seventy-three thousand, seven hundred seventy-one".