42344312143200 has 144 divisors (see below), whose sum is σ = 137838571266816. Its totient is φ = 11291174668800.

The previous prime is 42344312143193. The next prime is 42344312143207. The reversal of 42344312143200 is 234121344324.

42344312143200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (42344312143193) and next prime (42344312143207).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42344312143207) 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, 42493869 + ... + 43478931.

It is an arithmetic number, because the mean of its divisors is an integer number (957212300464).

Almost surely, 2^{42344312143200} is an apocalyptic number.

42344312143200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42344312143200 is an abundant number, since it is smaller than the sum of its proper divisors (95494259123616).

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

42344312143200 is a wasteful number, since it uses less digits than its factorization.

42344312143200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1002997 (or 1002984 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 33.

Adding to 42344312143200 its reverse (234121344324), we get a palindrome (42578433487524).

The spelling of 42344312143200 in words is "forty-two trillion, three hundred forty-four billion, three hundred twelve million, one hundred forty-three thousand, two hundred".