4130314000 has 40 divisors (see below), whose sum is σ = 9987104088. Its totient is φ = 1652124800.

The previous prime is 4130313997. The next prime is 4130314003. The reversal of 4130314000 is 4130314.

It is an interprime number because it is at equal distance from previous prime (4130313997) and next prime (4130314003).

It can be written as a sum of positive squares in 4 ways, for example, as 581967376 + 3548346624 = 24124^2 + 59568^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (4130314003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1030579 + ... + 1034578.

Almost surely, 2^4130314000 is an apocalyptic number.

4130314000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4130314000 is an abundant number, since it is smaller than the sum of its proper divisors (5856790088).

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

4130314000 is a wasteful number, since it uses less digits than its factorization.

4130314000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2065180 (or 2065164 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 4130314000 is about 64267.5190123285. The cubic root of 4130314000 is about 1604.4555497805.

Adding to 4130314000 its reverse (4130314), we get a palindrome (4134444314).

4130314000 divided by its reverse (4130314) gives a cube (1000 = 10³).

The spelling of 4130314000 in words is "four billion, one hundred thirty million, three hundred fourteen thousand".