4230412410000 has 400 divisors, whose sum is σ = 16145444304000. Its totient is φ = 933606912000.

The previous prime is 4230412409987. The next prime is 4230412410001. The reversal of 4230412410000 is 142140324.

4230412410000 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 (400).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (4230412410001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5742676 + ... + 6437324.

It is an arithmetic number, because the mean of its divisors is an integer number (40363610760).

Almost surely, 2^{4230412410000} is an apocalyptic number.

4230412410000 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 4230412410000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8072722152000).

4230412410000 is an abundant number, since it is smaller than the sum of its proper divisors (11915031894000).

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

4230412410000 is a wasteful number, since it uses less digits than its factorization.

4230412410000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 694716 (or 694695 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 4230412410000 its reverse (142140324), we get a palindrome (4230554550324).

The spelling of 4230412410000 in words is "four trillion, two hundred thirty billion, four hundred twelve million, four hundred ten thousand".