230958443888640 has 1920 divisors, whose sum is σ = 909615080571120. Its totient is φ = 55724098977792.

The previous prime is 230958443888639. The next prime is 230958443888647. The reversal of 230958443888640 is 46888344859032.

230958443888640 is a `hidden beast` number, since 2 + 3 + 0 + 9 + 58 + 4 + 438 + 88 + 64 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230958443888647) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1818570424257 + ... + 1818570424383.

Almost surely, 2^{230958443888640} is an apocalyptic number.

230958443888640 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 230958443888640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454807540285560).

230958443888640 is an abundant number, since it is smaller than the sum of its proper divisors (678656636682480).

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

230958443888640 is an frugal number, since it uses more digits than its factorization.

230958443888640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 1274019840, while the sum is 72.

The spelling of 230958443888640 in words is "two hundred thirty trillion, nine hundred fifty-eight billion, four hundred forty-three million, eight hundred eighty-eight thousand, six hundred forty".