4000563216 has 160 divisors (see below), whose sum is σ = 13094161920. Its totient is φ = 1158506496.

The previous prime is 4000563209. The next prime is 4000563241. The reversal of 4000563216 is 6123650004.

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

It is a self number, because there is not a number n which added to its sum of digits gives 4000563216.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 74521 + ... + 116423.

It is an arithmetic number, because the mean of its divisors is an integer number (81838512).

Almost surely, 2^4000563216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4000563216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6547080960).

4000563216 is an abundant number, since it is smaller than the sum of its proper divisors (9093598704).

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

4000563216 is a wasteful number, since it uses less digits than its factorization.

4000563216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41950 (or 41938 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 4000563216 is about 63250.0056600788. The cubic root of 4000563216 is about 1587.4755526109.

The spelling of 4000563216 in words is "four billion, five hundred sixty-three thousand, two hundred sixteen".