4114120000 has 140 divisors (see below), whose sum is σ = 10280534176. Its totient is φ = 1632960000.

The previous prime is 4114119991. The next prime is 4114120007. The reversal of 4114120000 is 214114.

4114120000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4114120007) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6519685 + ... + 6520315.

Almost surely, 2^4114120000 is an apocalyptic number.

4114120000 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 4114120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5140267088).

4114120000 is an abundant number, since it is smaller than the sum of its proper divisors (6166414176).

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

4114120000 is an equidigital number, since it uses as much as digits as its factorization.

4114120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 826 (or 801 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 4114120000 is about 64141.4062833050. The cubic root of 4114120000 is about 1602.3559043690.

Adding to 4114120000 its reverse (214114), we get a palindrome (4114334114).

The spelling of 4114120000 in words is "four billion, one hundred fourteen million, one hundred twenty thousand".