42034314142200 has 96 divisors (see below), whose sum is σ = 133484578158960. Its totient is φ = 10935756518400.

The previous prime is 42034314142193. The next prime is 42034314142201. The reversal of 42034314142200 is 224141343024.

42034314142200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42034314142201) 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 23 ways as a sum of consecutive naturals, for example, 854331379 + ... + 854380578.

Almost surely, 2^{42034314142200} is an apocalyptic number.

42034314142200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42034314142200 is an abundant number, since it is smaller than the sum of its proper divisors (91450264016760).

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

42034314142200 is a wasteful number, since it uses less digits than its factorization.

42034314142200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1708712017 (or 1708712008 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 42034314142200 its reverse (224141343024), we get a palindrome (42258455485224).

The spelling of 42034314142200 in words is "forty-two trillion, thirty-four billion, three hundred fourteen million, one hundred forty-two thousand, two hundred".