42434401334200 has 192 divisors, whose sum is σ = 100317524267520. Its totient is φ = 16690647360000.

The previous prime is 42434401334183. The next prime is 42434401334207. The reversal of 42434401334200 is 243310443424.

42434401334200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42434401334207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4740739725 + ... + 4740748675.

It is an arithmetic number, because the mean of its divisors is an integer number (522487105560).

Almost surely, 2^{42434401334200} is an apocalyptic number.

42434401334200 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 42434401334200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50158762133760).

42434401334200 is an abundant number, since it is smaller than the sum of its proper divisors (57883122933320).

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

42434401334200 is a wasteful number, since it uses less digits than its factorization.

42434401334200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10358 (or 10349 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 34.

Adding to 42434401334200 its reverse (243310443424), we get a palindrome (42677711777624).

The spelling of 42434401334200 in words is "forty-two trillion, four hundred thirty-four billion, four hundred one million, three hundred thirty-four thousand, two hundred".