4000264314 has 8 divisors (see below), whose sum is σ = 8000528640. Its totient is φ = 1333421436.

The previous prime is 4000264309. The next prime is 4000264319. The reversal of 4000264314 is 4134620004.

It is an interprime number because it is at equal distance from previous prime (4000264309) and next prime (4000264319).

It is a sphenic number, since it is the product of 3 distinct primes.

4000264314 is an admirable number.

It is a super-2 number, since 2×4000264314² = 32004229163723781192, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4000264319) 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 3 ways as a sum of consecutive naturals, for example, 333355354 + ... + 333355365.

It is an arithmetic number, because the mean of its divisors is an integer number (1000066080).

Almost surely, 2^4000264314 is an apocalyptic number.

4000264314 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

4000264314 is a wasteful number, since it uses less digits than its factorization.

4000264314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 666710724.

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 4000264314 is about 63247.6427544932. The cubic root of 4000264314 is about 1587.4360155582.

Adding to 4000264314 its reverse (4134620004), we get a palindrome (8134884318).

The spelling of 4000264314 in words is "four billion, two hundred sixty-four thousand, three hundred fourteen".