4006428668909 has 18 divisors (see below), whose sum is σ = 4224858927870. Its totient is φ = 3794748438208.

The previous prime is 4006428668903. The next prime is 4006428668981. The reversal of 4006428668909 is 9098668246004.

It can be written as a sum of positive squares in 9 ways, for example, as 199161375625 + 3807267293284 = 446275^2 + 1951222^2 .

It is not a de Polignac number, because 4006428668909 - 2¹² = 4006428664813 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4006428668903) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 571282487 + ... + 571289499.

Almost surely, 2^{4006428668909} is an apocalyptic number.

It is an amenable number.

4006428668909 is a deficient number, since it is larger than the sum of its proper divisors (218430258961).

4006428668909 is an frugal number, since it uses more digits than its factorization.

4006428668909 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14161 (or 7095 counting only the distinct ones).

The product of its (nonzero) digits is 35831808, while the sum is 62.

The spelling of 4006428668909 in words is "four trillion, six billion, four hundred twenty-eight million, six hundred sixty-eight thousand, nine hundred nine".