42252444425224 has 64 divisors (see below), whose sum is σ = 87209437423680. Its totient is φ = 19031856480000.

The previous prime is 42252444425207. The next prime is 42252444425227.

42252444425224 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×42252444425224³ (a number of 42 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (42252444425227) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5466862 + ... + 10695394.

It is an arithmetic number, because the mean of its divisors is an integer number (1362647459745).

Almost surely, 2^{42252444425224} is an apocalyptic number.

42252444425224 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 42252444425224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43604718711840).

42252444425224 is an abundant number, since it is smaller than the sum of its proper divisors (44956992998456).

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

42252444425224 is a wasteful number, since it uses less digits than its factorization.

42252444425224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5229382 (or 5229378 counting only the distinct ones).

The product of its digits is 6553600, while the sum is 46.

The spelling of 42252444425224 in words is "forty-two trillion, two hundred fifty-two billion, four hundred forty-four million, four hundred twenty-five thousand, two hundred twenty-four".