4140120200 has 96 divisors (see below), whose sum is σ = 9735463200. Its totient is φ = 1637314560.

The previous prime is 4140120199. The next prime is 4140120209. The reversal of 4140120200 is 20210414.

It is not an unprimeable number, because it can be changed into a prime (4140120209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10923611 + ... + 10923989.

It is an arithmetic number, because the mean of its divisors is an integer number (101411075).

Almost surely, 2^4140120200 is an apocalyptic number.

4140120200 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 4140120200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4867731600).

4140120200 is an abundant number, since it is smaller than the sum of its proper divisors (5595343000).

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

4140120200 is a wasteful number, since it uses less digits than its factorization.

4140120200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 871 (or 862 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 4140120200 is about 64343.7658207848. The cubic root of 4140120200 is about 1605.7243134321.

Adding to 4140120200 its reverse (20210414), we get a palindrome (4160330614).

The spelling of 4140120200 in words is "four billion, one hundred forty million, one hundred twenty thousand, two hundred".