42375427200 has 216 divisors, whose sum is σ = 151329991995. Its totient is φ = 11290798080.

The previous prime is 42375427189. The next prime is 42375427201. The reversal of 42375427200 is 272457324.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

42375427200 is a `hidden beast` number, since 4 + 23 + 7 + 5 + 427 + 200 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 159971904 + 42215455296 = 12648^2 + 205464^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=145560.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (42375427201) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 34933794 + ... + 34935006.

Almost surely, 2^42375427200 is an apocalyptic number.

42375427200 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 42375427200

42375427200 is an abundant number, since it is smaller than the sum of its proper divisors (108954564795).

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

42375427200 is an equidigital number, since it uses as much as digits as its factorization.

42375427200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2456 (or 1223 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 36.

The spelling of 42375427200 in words is "forty-two billion, three hundred seventy-five million, four hundred twenty-seven thousand, two hundred".