4120000000 has 160 divisors (see below), whose sum is σ = 10389817152. Its totient is φ = 1632000000.

The previous prime is 4119999973. The next prime is 4120000009. The reversal of 4120000000 is 214.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4120000009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39999949 + ... + 40000051.

Almost surely, 2^4120000000 is an apocalyptic number.

4120000000 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 4120000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5194908576).

4120000000 is an abundant number, since it is smaller than the sum of its proper divisors (6269817152).

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

4120000000 is an frugal number, since it uses more digits than its factorization.

4120000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 7.

The square root of 4120000000 is about 64187.2261435249. The cubic root of 4120000000 is about 1603.1189162753.

Adding to 4120000000 its reverse (214), we get a palindrome (4120000214).

The spelling of 4120000000 in words is "four billion, one hundred twenty million", and thus it is an aban number.