230042312480640 has 1024 divisors, whose sum is σ = 889398492364800. Its totient is φ = 49939255296000.

The previous prime is 230042312480599. The next prime is 230042312480677. The reversal of 230042312480640 is 46084213240032.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 534691210 + ... + 535121270.

It is an arithmetic number, because the mean of its divisors is an integer number (868553215200).

Almost surely, 2^{230042312480640} is an apocalyptic number.

230042312480640 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 230042312480640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444699246182400).

230042312480640 is an abundant number, since it is smaller than the sum of its proper divisors (659356179884160).

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

230042312480640 is a wasteful number, since it uses less digits than its factorization.

230042312480640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430187 (or 430175 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 39.

The spelling of 230042312480640 in words is "two hundred thirty trillion, forty-two billion, three hundred twelve million, four hundred eighty thousand, six hundred forty".