42254344345224 has 64 divisors (see below), whose sum is σ = 115260855690240. Its totient is φ = 12801931799360.

The previous prime is 42254344345223. The next prime is 42254344345229.

42254344345224 is nontrivially palindromic in base 10.

42254344345224 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 2×42254344345224² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (42254344345223) 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 15 ways as a sum of consecutive naturals, for example, 13690932 + ... + 16490915.

It is an arithmetic number, because the mean of its divisors is an integer number (1800950870160).

Almost surely, 2^{42254344345224} is an apocalyptic number.

42254344345224 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42254344345224 is an abundant number, since it is smaller than the sum of its proper divisors (73006511345016).

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

42254344345224 is a wasteful number, since it uses less digits than its factorization.

42254344345224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30187170 (or 30187166 counting only the distinct ones).

The product of its digits is 14745600, while the sum is 48.

The spelling of 42254344345224 in words is "forty-two trillion, two hundred fifty-four billion, three hundred forty-four million, three hundred forty-five thousand, two hundred twenty-four".