42203622630224 has 160 divisors (see below), whose sum is σ = 97587847906560. Its totient is φ = 17464862105600.

The previous prime is 42203622630047. The next prime is 42203622630227.

42203622630224 is nontrivially palindromic in base 10.

42203622630224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×42203622630224² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42203622630227) 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 31 ways as a sum of consecutive naturals, for example, 9384662 + ... + 13133130.

It is an arithmetic number, because the mean of its divisors is an integer number (609924049416).

Almost surely, 2^{42203622630224} is an apocalyptic number.

42203622630224 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 42203622630224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48793923953280).

42203622630224 is an abundant number, since it is smaller than the sum of its proper divisors (55384225276336).

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

42203622630224 is a wasteful number, since it uses less digits than its factorization.

42203622630224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3748629 (or 3748623 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 38.

It can be divided in two parts, 4220362 and 2630224, that added together give a palindrome (6850586).

The spelling of 42203622630224 in words is "forty-two trillion, two hundred three billion, six hundred twenty-two million, six hundred thirty thousand, two hundred twenty-four".