230468999040 has 1536 divisors, whose sum is σ = 989853696000. Its totient is φ = 49312972800.

The previous prime is 230468999029. The next prime is 230468999063. The reversal of 230468999040 is 40999864032.

230468999040 is a `hidden beast` number, since 2 + 3 + 0 + 468 + 99 + 90 + 4 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3246042205 + ... + 3246042275.

It is an arithmetic number, because the mean of its divisors is an integer number (644436000).

Almost surely, 2^230468999040 is an apocalyptic number.

230468999040 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 230468999040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494926848000).

230468999040 is an abundant number, since it is smaller than the sum of its proper divisors (759384696960).

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

230468999040 is a wasteful number, since it uses less digits than its factorization.

230468999040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 230468999040 in words is "two hundred thirty billion, four hundred sixty-eight million, nine hundred ninety-nine thousand, forty".