4102434116300 has 144 divisors (see below), whose sum is σ = 10317431954592. Its totient is φ = 1402270617600.

The previous prime is 4102434116257. The next prime is 4102434116303. The reversal of 4102434116300 is 36114342014.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (4102434116303) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 173462 + ... + 2869661.

It is an arithmetic number, because the mean of its divisors is an integer number (71648833018).

Almost surely, 2^{4102434116300} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4102434116300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5158715977296).

4102434116300 is an abundant number, since it is smaller than the sum of its proper divisors (6214997838292).

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

4102434116300 is a wasteful number, since it uses less digits than its factorization.

4102434116300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3043228 (or 3043221 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

Adding to 4102434116300 its reverse (36114342014), we get a palindrome (4138548458314).

The spelling of 4102434116300 in words is "four trillion, one hundred two billion, four hundred thirty-four million, one hundred sixteen thousand, three hundred".