42468324624 has 240 divisors, whose sum is σ = 134801372160. Its totient is φ = 12836465280.

The previous prime is 42468324611. The next prime is 42468324641. The reversal of 42468324624 is 42642386424.

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

It is a self number, because there is not a number n which added to its sum of digits gives 42468324624.

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 47 ways as a sum of consecutive naturals, for example, 20826997 + ... + 20829035.

It is an arithmetic number, because the mean of its divisors is an integer number (561672384).

Almost surely, 2^42468324624 is an apocalyptic number.

42468324624 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 42468324624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67400686080).

42468324624 is an abundant number, since it is smaller than the sum of its proper divisors (92333047536).

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

42468324624 is a wasteful number, since it uses less digits than its factorization.

42468324624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2560 (or 2542 counting only the distinct ones).

The product of its digits is 1769472, while the sum is 45.

The spelling of 42468324624 in words is "forty-two billion, four hundred sixty-eight million, three hundred twenty-four thousand, six hundred twenty-four".