4102131200 has 240 divisors, whose sum is σ = 10800179280. Its totient is φ = 1541406720.

The previous prime is 4102131181. The next prime is 4102131211. The reversal of 4102131200 is 21312014.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15961472 + ... + 15961728.

It is an arithmetic number, because the mean of its divisors is an integer number (45000747).

Almost surely, 2^4102131200 is an apocalyptic number.

4102131200 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 4102131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5400089640).

4102131200 is an abundant number, since it is smaller than the sum of its proper divisors (6698048080).

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

4102131200 is a wasteful number, since it uses less digits than its factorization.

4102131200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 4102131200 is about 64047.8820883251. The cubic root of 4102131200 is about 1600.7979353292.

Adding to 4102131200 its reverse (21312014), we get a palindrome (4123443214).

The spelling of 4102131200 in words is "four billion, one hundred two million, one hundred thirty-one thousand, two hundred".