4001616163216 has 45 divisors (see below), whose sum is σ = 9019074915531. Its totient is φ = 1714954350816.

The previous prime is 4001616163199. The next prime is 4001616163219. The reversal of 4001616163216 is 6123616161004.

The square root of 4001616163216 is 2000404.

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

4001616163216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4001616163219) 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, 55975591 + ... + 56047033.

Almost surely, 2^{4001616163216} is an apocalyptic number.

4001616163216 is the 2000404-th square number.

It is an amenable number.

4001616163216 is an abundant number, since it is smaller than the sum of its proper divisors (5017458752315).

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

4001616163216 is an frugal number, since it uses more digits than its factorization.

4001616163216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142908 (or 71452 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 37.

The spelling of 4001616163216 in words is "four trillion, one billion, six hundred sixteen million, one hundred sixty-three thousand, two hundred sixteen".