42468303024 has 320 divisors, whose sum is σ = 149390438400. Its totient is φ = 11274412032.

The previous prime is 42468303013. The next prime is 42468303037. The reversal of 42468303024 is 42030386424.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 42468303024.

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, 4056004 + ... + 4066460.

It is an arithmetic number, because the mean of its divisors is an integer number (466845120).

Almost surely, 2^42468303024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42468303024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74695219200).

42468303024 is an abundant number, since it is smaller than the sum of its proper divisors (106922135376).

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

42468303024 is a wasteful number, since it uses less digits than its factorization.

42468303024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10577 (or 10565 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 42468303024 its reverse (42030386424), we get a palindrome (84498689448).

The spelling of 42468303024 in words is "forty-two billion, four hundred sixty-eight million, three hundred three thousand, twenty-four".