4140569664 has 840 divisors, whose sum is σ = 16481291904. Its totient is φ = 1003622400.

The previous prime is 4140569663. The next prime is 4140569677. The reversal of 4140569664 is 4669650414.

It is a happy number.

4140569664 is a `hidden beast` number, since 41 + 40 + 569 + 6 + 6 + 4 = 666.

It is a super-3 number, since 3×4140569664³ (a number of 30 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (4140569663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 100989484 + ... + 100989524.

Almost surely, 2^4140569664 is an apocalyptic number.

4140569664 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4140569664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8240645952).

4140569664 is an abundant number, since it is smaller than the sum of its proper divisors (12340722240).

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

4140569664 is a wasteful number, since it uses less digits than its factorization.

4140569664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 4140569664 is about 64347.2584031363. The cubic root of 4140569664 is about 1605.7824187626.

The spelling of 4140569664 in words is "four billion, one hundred forty million, five hundred sixty-nine thousand, six hundred sixty-four".