42300004320 has 288 divisors, whose sum is σ = 169430159808. Its totient is φ = 9407176704.

The previous prime is 42300004289. The next prime is 42300004321. The reversal of 42300004320 is 2340000324.

42300004320 is a `hidden beast` number, since 4 + 230 + 0 + 0 + 0 + 432 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 42300004293 and 42300004302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42300004321) 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 47 ways as a sum of consecutive naturals, for example, 316252 + ... + 429668.

It is an arithmetic number, because the mean of its divisors is an integer number (588299166).

Almost surely, 2^42300004320 is an apocalyptic number.

42300004320 is a gapful number since it is divisible by the number (40) 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 42300004320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84715079904).

42300004320 is an abundant number, since it is smaller than the sum of its proper divisors (127130155488).

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

42300004320 is a wasteful number, since it uses less digits than its factorization.

42300004320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113482 (or 113471 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

Adding to 42300004320 its reverse (2340000324), we get a palindrome (44640004644).

It can be divided in two parts, 42300004 and 320, that added together give a palindrome (42300324).

The spelling of 42300004320 in words is "forty-two billion, three hundred million, four thousand, three hundred twenty".