4000942009 has 9 divisors (see below), whose sum is σ = 4098937509. Its totient is φ = 3905240220.

The previous prime is 4000942007. The next prime is 4000942021. The reversal of 4000942009 is 9002490004.

The square root of 4000942009 is 63253.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 4000942009 - 2¹ = 4000942007 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4000942007) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2719144 + ... + 2720614.

It is an arithmetic number, because the mean of its divisors is an integer number (455437501).

Almost surely, 2^4000942009 is an apocalyptic number.

4000942009 is the 63253-rd square number.

4000942009 is the 31627-th centered octagonal number.

It is an amenable number.

4000942009 is a deficient number, since it is larger than the sum of its proper divisors (97995500).

4000942009 is an frugal number, since it uses more digits than its factorization.

4000942009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3028 (or 1514 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The cubic root of 4000942009 is about 1587.5256543605.

The spelling of 4000942009 in words is "four billion, nine hundred forty-two thousand, nine".