4140088064 has 144 divisors (see below), whose sum is σ = 10273209408. Its totient is φ = 1624375296.

The previous prime is 4140088063. The next prime is 4140088091. The reversal of 4140088064 is 4608800414.

It is not an unprimeable number, because it can be changed into a prime (4140088061) 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, 1125332 + ... + 1129004.

It is an arithmetic number, because the mean of its divisors is an integer number (71341732).

Almost surely, 2^4140088064 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 4140088064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5136604704).

4140088064 is an abundant number, since it is smaller than the sum of its proper divisors (6133121344).

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

4140088064 is a wasteful number, since it uses less digits than its factorization.

4140088064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3750 (or 3736 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 35.

The square root of 4140088064 is about 64343.5160991378. The cubic root of 4140088064 is about 1605.7201588273.

Adding to 4140088064 its reverse (4608800414), we get a palindrome (8748888478).

The spelling of 4140088064 in words is "four billion, one hundred forty million, eighty-eight thousand, sixty-four".