4301140010000 has 200 divisors, whose sum is σ = 10971824767200. Its totient is φ = 1628380800000.

The previous prime is 4301140009997. The next prime is 4301140010081. The reversal of 4301140010000 is 100411034.

It is a happy number.

4301140010000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (200).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 214499975 + ... + 214520025.

It is an arithmetic number, because the mean of its divisors is an integer number (54859123836).

Almost surely, 2^{4301140010000} is an apocalyptic number.

4301140010000 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 4301140010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5485912383600).

4301140010000 is an abundant number, since it is smaller than the sum of its proper divisors (6670684757200).

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

4301140010000 is a wasteful number, since it uses less digits than its factorization.

4301140010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21227 (or 21206 counting only the distinct ones).

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

Adding to 4301140010000 its reverse (100411034), we get a palindrome (4301240421034).

The spelling of 4301140010000 in words is "four trillion, three hundred one billion, one hundred forty million, ten thousand".