42242611624224 has 192 divisors, whose sum is σ = 124879307599872. Its totient is φ = 12386905113600.

The previous prime is 42242611624133. The next prime is 42242611624243.

42242611624224 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 500065639 + ... + 500150105.

It is an arithmetic number, because the mean of its divisors is an integer number (650413060416).

Almost surely, 2^{42242611624224} is an apocalyptic number.

42242611624224 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 42242611624224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62439653799936).

42242611624224 is an abundant number, since it is smaller than the sum of its proper divisors (82636695975648).

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

42242611624224 is a wasteful number, since it uses less digits than its factorization.

42242611624224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99799 (or 99791 counting only the distinct ones).

The product of its digits is 589824, while the sum is 42.

It can be divided in two parts, 4224261 and 1624224, that added together give a palindrome (5848485).

The spelling of 42242611624224 in words is "forty-two trillion, two hundred forty-two billion, six hundred eleven million, six hundred twenty-four thousand, two hundred twenty-four".