230445011040 has 96 divisors (see below), whose sum is σ = 725971631616. Its totient is φ = 61446090240.

The previous prime is 230445011033. The next prime is 230445011047. The reversal of 230445011040 is 40110544032.

230445011040 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (230445011033) and next prime (230445011047).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×230445011040² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 230445011040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230445011047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7564479 + ... + 7594881.

It is an arithmetic number, because the mean of its divisors is an integer number (7562204496).

Almost surely, 2^230445011040 is an apocalyptic number.

230445011040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230445011040 is an abundant number, since it is smaller than the sum of its proper divisors (495526620576).

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

230445011040 is a wasteful number, since it uses less digits than its factorization.

230445011040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46212 (or 46204 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 230445011040 its reverse (40110544032), we get a palindrome (270555555072).

The spelling of 230445011040 in words is "two hundred thirty billion, four hundred forty-five million, eleven thousand, forty".