230577038375040 has 1536 divisors, whose sum is σ = 972503760384000. Its totient is φ = 49203725598720.

The previous prime is 230577038375003. The next prime is 230577038375083. The reversal of 230577038375040 is 40573830775032.

230577038375040 is a `hidden beast` number, since 2 + 3 + 0 + 5 + 7 + 70 + 38 + 37 + 504 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 68036893666 + ... + 68036897054.

It is an arithmetic number, because the mean of its divisors is an integer number (633140469000).

Almost surely, 2^{230577038375040} is an apocalyptic number.

230577038375040 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 230577038375040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486251880192000).

230577038375040 is an abundant number, since it is smaller than the sum of its proper divisors (741926722008960).

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

230577038375040 is a wasteful number, since it uses less digits than its factorization.

230577038375040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5358 (or 5343 counting only the distinct ones).

The product of its (nonzero) digits is 14817600, while the sum is 54.

The spelling of 230577038375040 in words is "two hundred thirty trillion, five hundred seventy-seven billion, thirty-eight million, three hundred seventy-five thousand, forty".