4140216564 has 48 divisors (see below), whose sum is σ = 10545474240. Its totient is φ = 1253808640.

The previous prime is 4140216503. The next prime is 4140216569. The reversal of 4140216564 is 4656120414.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4140216569) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 216412 + ... + 234764.

It is an arithmetic number, because the mean of its divisors is an integer number (219697380).

Almost surely, 2^4140216564 is an apocalyptic number.

4140216564 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4140216564 is an abundant number, since it is smaller than the sum of its proper divisors (6405257676).

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

4140216564 is a wasteful number, since it uses less digits than its factorization.

4140216564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20080 (or 20078 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 4140216564 is about 64344.5146380016. The cubic root of 4140216564 is about 1605.7367714293.

Adding to 4140216564 its reverse (4656120414), we get a palindrome (8796336978).

The spelling of 4140216564 in words is "four billion, one hundred forty million, two hundred sixteen thousand, five hundred sixty-four".