42204111140224 has 96 divisors (see below), whose sum is σ = 92421700297920. Its totient is φ = 19182683520000.

The previous prime is 42204111140209. The next prime is 42204111140267.

42204111140224 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 42204111140192 and 42204111140201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 352307602 + ... + 352427374.

It is an arithmetic number, because the mean of its divisors is an integer number (962726044770).

Almost surely, 2^{42204111140224} is an apocalyptic number.

42204111140224 is a gapful number since it is divisible by the number (44) 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 42204111140224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46210850148960).

42204111140224 is an abundant number, since it is smaller than the sum of its proper divisors (50217589157696).

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

42204111140224 is a wasteful number, since it uses less digits than its factorization.

42204111140224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142560 (or 142537 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 28.

It can be divided in two parts, 4220411 and 1140224, that added together give a palindrome (5360635).

The spelling of 42204111140224 in words is "forty-two trillion, two hundred four billion, one hundred eleven million, one hundred forty thousand, two hundred twenty-four".