42452222225424 has 320 divisors, whose sum is σ = 129787018813440. Its totient is φ = 11812753039360.

The previous prime is 42452222225381. The next prime is 42452222225473.

42452222225424 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 84906049 + ... + 85404575.

It is an arithmetic number, because the mean of its divisors is an integer number (405584433792).

Almost surely, 2^{42452222225424} is an apocalyptic number.

42452222225424 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 42452222225424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64893509406720).

42452222225424 is an abundant number, since it is smaller than the sum of its proper divisors (87334796588016).

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

42452222225424 is a wasteful number, since it uses less digits than its factorization.

42452222225424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498798 (or 498792 counting only the distinct ones).

The product of its digits is 1638400, while the sum is 42.

The spelling of 42452222225424 in words is "forty-two trillion, four hundred fifty-two billion, two hundred twenty-two million, two hundred twenty-five thousand, four hundred twenty-four".