230433443401120 has 192 divisors, whose sum is σ = 607064310720000. Its totient is φ = 82144399933440.

The previous prime is 230433443401081. The next prime is 230433443401169. The reversal of 230433443401120 is 21104344334032.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 102193050 + ... + 104423590.

It is an arithmetic number, because the mean of its divisors is an integer number (3161793285000).

Almost surely, 2^{230433443401120} is an apocalyptic number.

230433443401120 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 230433443401120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303532155360000).

230433443401120 is an abundant number, since it is smaller than the sum of its proper divisors (376630867318880).

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

230433443401120 is a wasteful number, since it uses less digits than its factorization.

230433443401120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2232591 (or 2232583 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 34.

Adding to 230433443401120 its reverse (21104344334032), we get a palindrome (251537787735152).

The spelling of 230433443401120 in words is "two hundred thirty trillion, four hundred thirty-three billion, four hundred forty-three million, four hundred one thousand, one hundred twenty".