4003314264 has 96 divisors (see below), whose sum is σ = 11026426320. Its totient is φ = 1311971328.

The previous prime is 4003314247. The next prime is 4003314277. The reversal of 4003314264 is 4624133004.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1053552 + ... + 1057344.

Almost surely, 2^4003314264 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 4003314264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5513213160).

4003314264 is an abundant number, since it is smaller than the sum of its proper divisors (7023112056).

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

4003314264 is a wasteful number, since it uses less digits than its factorization.

4003314264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4049 (or 4042 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 4003314264 is about 63271.7493357027. The cubic root of 4003314264 is about 1587.8393531167.

Adding to 4003314264 its reverse (4624133004), we get a palindrome (8627447268).

The spelling of 4003314264 in words is "four billion, three million, three hundred fourteen thousand, two hundred sixty-four".