4114100000 has 72 divisors (see below), whose sum is σ = 10124141076. Its totient is φ = 1645600000.

The previous prime is 4114099981. The next prime is 4114100009. The reversal of 4114100000 is 14114.

It can be written as a sum of positive squares in 6 ways, for example, as 406264336 + 3707835664 = 20156^2 + 60892^2 .

It is not an unprimeable number, because it can be changed into a prime (4114100009) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 79430 + ... + 120570.

Almost surely, 2^4114100000 is an apocalyptic number.

4114100000 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 4114100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5062070538).

4114100000 is an abundant number, since it is smaller than the sum of its proper divisors (6010041076).

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

4114100000 is an frugal number, since it uses more digits than its factorization.

4114100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41176 (or 41148 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 4114100000 is about 64141.2503775846. The cubic root of 4114100000 is about 1602.3533078502.

Adding to 4114100000 its reverse (14114), we get a palindrome (4114114114).

The spelling of 4114100000 in words is "four billion, one hundred fourteen million, one hundred thousand".