4102340000 has 240 divisors, whose sum is σ = 11407223520. Its totient is φ = 1438080000.

The previous prime is 4102339981. The next prime is 4102340009. The reversal of 4102340000 is 432014.

It is not an unprimeable number, because it can be changed into a prime (4102340009) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6379679 + ... + 6380321.

It is an arithmetic number, because the mean of its divisors is an integer number (47530098).

Almost surely, 2^4102340000 is an apocalyptic number.

4102340000 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 4102340000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5703611760).

4102340000 is an abundant number, since it is smaller than the sum of its proper divisors (7304883520).

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

4102340000 is a wasteful number, since it uses less digits than its factorization.

4102340000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 713 (or 690 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 4102340000 is about 64049.5120980636. The cubic root of 4102340000 is about 1600.8250952713.

Adding to 4102340000 its reverse (432014), we get a palindrome (4102772014).

The spelling of 4102340000 in words is "four billion, one hundred two million, three hundred forty thousand".