4002440064 has 64 divisors (see below), whose sum is σ = 12150272640. Its totient is φ = 1143553536.

The previous prime is 4002440063. The next prime is 4002440081. The reversal of 4002440064 is 4600442004.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4002440063) 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 7 ways as a sum of consecutive naturals, for example, 741814 + ... + 747189.

It is an arithmetic number, because the mean of its divisors is an integer number (189848010).

Almost surely, 2^4002440064 is an apocalyptic number.

It is an amenable number.

4002440064 is an abundant number, since it is smaller than the sum of its proper divisors (8147832576).

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

4002440064 is a wasteful number, since it uses less digits than its factorization.

4002440064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1489027 (or 1489015 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 4002440064 is about 63264.8406620929. The cubic root of 4002440064 is about 1587.7237663701.

Adding to 4002440064 its reverse (4600442004), we get a palindrome (8602882068).

The spelling of 4002440064 in words is "four billion, two million, four hundred forty thousand, sixty-four".