230324014410000 has 600 divisors, whose sum is σ = 865496187689760. Its totient is φ = 52609632768000.

The previous prime is 230324014409987. The next prime is 230324014410029. The reversal of 230324014410000 is 14410423032.

It is a tau number, because it is divible by the number of its divisors (600).

It is a super-2 number, since 2×230324014410000² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2188777387 + ... + 2188882613.

Almost surely, 2^{230324014410000} is an apocalyptic number.

230324014410000 is a gapful number since it is divisible by the number (20) 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 230324014410000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432748093844880).

230324014410000 is an abundant number, since it is smaller than the sum of its proper divisors (635172173279760).

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

230324014410000 is a wasteful number, since it uses less digits than its factorization.

230324014410000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106761 (or 106733 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 230324014410000 its reverse (14410423032), we get a palindrome (230338424833032).

The spelling of 230324014410000 in words is "two hundred thirty trillion, three hundred twenty-four billion, fourteen million, four hundred ten thousand".