4002000314 has 16 divisors (see below), whose sum is σ = 6487787880. Its totient is φ = 1840500480.

The previous prime is 4002000313. The next prime is 4002000337. The reversal of 4002000314 is 4130002004.

It can be written as a sum of positive squares in 4 ways, for example, as 3941705089 + 60295225 = 62783^2 + 7765^2 .

It is not an unprimeable number, because it can be changed into a prime (4002000313) 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 7 ways as a sum of consecutive naturals, for example, 266579 + ... + 281190.

Almost surely, 2^4002000314 is an apocalyptic number.

4002000314 is a deficient number, since it is larger than the sum of its proper divisors (2485787566).

4002000314 is a wasteful number, since it uses less digits than its factorization.

4002000314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548065.

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 4002000314 is about 63261.3650975064. The cubic root of 4002000314 is about 1587.6656162511.

Adding to 4002000314 its reverse (4130002004), we get a palindrome (8132002318).

The spelling of 4002000314 in words is "four billion, two million, three hundred fourteen", and thus it is an aban number.