4120441000 has 64 divisors (see below), whose sum is σ = 10383544080. Its totient is φ = 1521388800.

The previous prime is 4120440991. The next prime is 4120441009. The reversal of 4120441000 is 1440214.

4120441000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4120440991) and next prime (4120441009).

It can be written as a sum of positive squares in 8 ways, for example, as 233417284 + 3887023716 = 15278^2 + 62346^2 .

It is not an unprimeable number, because it can be changed into a prime (4120441009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 145479 + ... + 171478.

Almost surely, 2^4120441000 is an apocalyptic number.

4120441000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4120441000 is an abundant number, since it is smaller than the sum of its proper divisors (6263103080).

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

4120441000 is a wasteful number, since it uses less digits than its factorization.

4120441000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316991 (or 316977 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 4120441000 is about 64190.6613145557. The cubic root of 4120441000 is about 1603.1761128950.

Adding to 4120441000 its reverse (1440214), we get a palindrome (4121881214).

The spelling of 4120441000 in words is "four billion, one hundred twenty million, four hundred forty-one thousand".