4145000000 has 112 divisors (see below), whose sum is σ = 10293918960. Its totient is φ = 1656000000.

The previous prime is 4144999961. The next prime is 4145000017. The reversal of 4145000000 is 5414.

It can be written as a sum of positive squares in 8 ways, for example, as 3332521984 + 812478016 = 57728^2 + 28504^2 .

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 4999586 + ... + 5000414.

Almost surely, 2^4145000000 is an apocalyptic number.

4145000000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4145000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5146959480).

4145000000 is an abundant number, since it is smaller than the sum of its proper divisors (6148918960).

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

4145000000 is an frugal number, since it uses more digits than its factorization.

4145000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 876 (or 836 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 14.

The square root of 4145000000 is about 64381.6744112795. The cubic root of 4145000000 is about 1606.3549341733.

Adding to 4145000000 its reverse (5414), we get a palindrome (4145005414).

The spelling of 4145000000 in words is "four billion, one hundred forty-five million", and thus it is an aban number.