4140300564 has 288 divisors, whose sum is σ = 12369127680. Its totient is φ = 1158119424.

The previous prime is 4140300557. The next prime is 4140300569. The reversal of 4140300564 is 4650030414.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4140300569) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 30221104 + ... + 30221240.

It is an arithmetic number, because the mean of its divisors is an integer number (42948360).

Almost surely, 2^4140300564 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 4140300564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6184563840).

4140300564 is an abundant number, since it is smaller than the sum of its proper divisors (8228827116).

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

4140300564 is a wasteful number, since it uses less digits than its factorization.

4140300564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 4140300564 is about 64345.1673709844. The cubic root of 4140300564 is about 1605.7476308432.

Adding to 4140300564 its reverse (4650030414), we get a palindrome (8790330978).

It can be divided in two parts, 4140 and 300564, that added together give a square (304704 = 552²).

The spelling of 4140300564 in words is "four billion, one hundred forty million, three hundred thousand, five hundred sixty-four".