4000216605 has 128 divisors (see below), whose sum is σ = 8223399936. Its totient is φ = 1612416000.

The previous prime is 4000216553. The next prime is 4000216669. The reversal of 4000216605 is 5066120004.

It is not a de Polignac number, because 4000216605 - 2⁶ = 4000216541 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6182392 + ... + 6183038.

It is an arithmetic number, because the mean of its divisors is an integer number (64245312).

Almost surely, 2^4000216605 is an apocalyptic number.

It is an amenable number.

4000216605 is an abundant number, since it is smaller than the sum of its proper divisors (4223183331).

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

4000216605 is a wasteful number, since it uses less digits than its factorization.

4000216605 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 827.

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 4000216605 is about 63247.2655930673. The cubic root of 4000216605 is about 1587.4297047014.

Adding to 4000216605 its reverse (5066120004), we get a palindrome (9066336609).

The spelling of 4000216605 in words is "four billion, two hundred sixteen thousand, six hundred five".