4002672771 has 12 divisors (see below), whose sum is σ = 5981005680. Its totient is φ = 2576432880.

The previous prime is 4002672761. The next prime is 4002672781. The reversal of 4002672771 is 1772762004.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4002672761) and next prime (4002672781).

It is not a de Polignac number, because 4002672771 - 2¹⁴ = 4002656387 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4002672701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7667695 + ... + 7668216.

It is an arithmetic number, because the mean of its divisors is an integer number (498417140).

Almost surely, 2^4002672771 is an apocalyptic number.

4002672771 is a deficient number, since it is larger than the sum of its proper divisors (1978332909).

4002672771 is a wasteful number, since it uses less digits than its factorization.

4002672771 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15335946 (or 15335943 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 36.

The square root of 4002672771 is about 63266.6797848599. The cubic root of 4002672771 is about 1587.7545365394.

The spelling of 4002672771 in words is "four billion, two million, six hundred seventy-two thousand, seven hundred seventy-one".