232234030013040 has 720 divisors, whose sum is σ = 864098894131200. Its totient is φ = 55851095393280.

The previous prime is 232234030012997. The next prime is 232234030013059. The reversal of 232234030013040 is 40310030432232.

232234030013040 is a `hidden beast` number, since 2 + 3 + 2 + 2 + 340 + 300 + 13 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a junction number, because it is equal to n+sod(n) for n = 232234030012995 and 232234030013013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 17425822857 + ... + 17425836183.

It is an arithmetic number, because the mean of its divisors is an integer number (1200137352960).

Almost surely, 2^{232234030013040} is an apocalyptic number.

232234030013040 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 232234030013040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432049447065600).

232234030013040 is an abundant number, since it is smaller than the sum of its proper divisors (631864864118160).

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

232234030013040 is a wasteful number, since it uses less digits than its factorization.

232234030013040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14946 (or 14926 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 232234030013040 its reverse (40310030432232), we get a palindrome (272544060445272).

The spelling of 232234030013040 in words is "two hundred thirty-two trillion, two hundred thirty-four billion, thirty million, thirteen thousand, forty".