42430422067200 has 3024 divisors, whose sum is σ = 172548380571840. Its totient is φ = 10334610063360.

The previous prime is 42430422067199. The next prime is 42430422067217. The reversal of 42430422067200 is 276022403424.

42430422067200 is a `hidden beast` number, since 4 + 24 + 3 + 0 + 422 + 0 + 6 + 7 + 200 = 666.

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

It is an unprimeable number.

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 251 ways as a sum of consecutive naturals, for example, 633289881567 + ... + 633289881633.

It is an arithmetic number, because the mean of its divisors is an integer number (57059649660).

Almost surely, 2^{42430422067200} is an apocalyptic number.

42430422067200 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 42430422067200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86274190285920).

42430422067200 is an abundant number, since it is smaller than the sum of its proper divisors (130117958504640).

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

42430422067200 is an equidigital number, since it uses as much as digits as its factorization.

42430422067200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 36.

The spelling of 42430422067200 in words is "forty-two trillion, four hundred thirty billion, four hundred twenty-two million, sixty-seven thousand, two hundred".