230009618442240 has 5184 divisors, whose sum is σ = 1077214691629440. Its totient is φ = 46653014016000.

The previous prime is 230009618442239. The next prime is 230009618442257. The reversal of 230009618442240 is 42244816900032.

230009618442240 is a `hidden beast` number, since 2 + 3 + 0 + 0 + 0 + 9 + 6 + 184 + 422 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (5184).

It is a super-2 number, since 2×230009618442240² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 1523242506165 + ... + 1523242506315.

It is an arithmetic number, because the mean of its divisors is an integer number (207796043910).

Almost surely, 2^{230009618442240} is an apocalyptic number.

230009618442240 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 230009618442240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (538607345814720).

230009618442240 is an abundant number, since it is smaller than the sum of its proper divisors (847205073187200).

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

230009618442240 is a wasteful number, since it uses less digits than its factorization.

230009618442240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 230009618442240 in words is "two hundred thirty trillion, nine billion, six hundred eighteen million, four hundred forty-two thousand, two hundred forty".