4000416606 has 32 divisors (see below), whose sum is σ = 8898746400. Its totient is φ = 1332132480.

The previous prime is 4000416583. The next prime is 4000416619. The reversal of 4000416606 is 6066140004.

4000416606 is a `hidden beast` number, since 40 + 0 + 0 + 4 + 16 + 606 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 4000416606.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17776 + ... + 91196.

It is an arithmetic number, because the mean of its divisors is an integer number (278085825).

Almost surely, 2^4000416606 is an apocalyptic number.

4000416606 is an abundant number, since it is smaller than the sum of its proper divisors (4898329794).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4000416606 is a wasteful number, since it uses less digits than its factorization.

4000416606 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74441 (or 74435 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 4000416606 is about 63248.8466772320. The cubic root of 4000416606 is about 1587.4561601219.

The spelling of 4000416606 in words is "four billion, four hundred sixteen thousand, six hundred six".