4002006107 has 8 divisors (see below), whose sum is σ = 4375959552. Its totient is φ = 3629741800.

The previous prime is 4002006089. The next prime is 4002006109. The reversal of 4002006107 is 7016002004.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-4002006107 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4002006109) 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 7 ways as a sum of consecutive naturals, for example, 417323 + ... + 426804.

It is an arithmetic number, because the mean of its divisors is an integer number (546994944).

Almost surely, 2^4002006107 is an apocalyptic number.

4002006107 is a deficient number, since it is larger than the sum of its proper divisors (373953445).

4002006107 is a wasteful number, since it uses less digits than its factorization.

4002006107 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 844569.

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 4002006107 is about 63261.4108837291. The cubic root of 4002006107 is about 1587.6663823132. Note that the first 3 decimals are identical.

The spelling of 4002006107 in words is "four billion, two million, six thousand, one hundred seven".