42042004442200 has 96 divisors (see below), whose sum is σ = 111757460680800. Its totient is φ = 14408485539840.

The previous prime is 42042004442167. The next prime is 42042004442279. The reversal of 42042004442200 is 224440024024.

42042004442200 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 (28).

It is a congruent number.

It is an unprimeable number.

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, 2749465 + ... + 9573064.

It is an arithmetic number, because the mean of its divisors is an integer number (1164140215425).

Almost surely, 2^{42042004442200} is an apocalyptic number.

42042004442200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42042004442200 is an abundant number, since it is smaller than the sum of its proper divisors (69715456238600).

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

42042004442200 is a wasteful number, since it uses less digits than its factorization.

42042004442200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12324989 (or 12324980 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 28.

Adding to 42042004442200 its reverse (224440024024), we get a palindrome (42266444466224).

The spelling of 42042004442200 in words is "forty-two trillion, forty-two billion, four million, four hundred forty-two thousand, two hundred".