42326218368000 has 528 divisors, whose sum is σ = 174315020840064. Its totient is φ = 9674562355200.

The previous prime is 42326218367981. The next prime is 42326218368017. The reversal of 42326218368000 is 86381262324.

42326218368000 is a `hidden beast` number, since 4 + 2 + 326 + 218 + 36 + 80 + 0 + 0 = 666.

42326218368000 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 2×42326218368000² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 5439607 + ... + 10688393.

Almost surely, 2^{42326218368000} is an apocalyptic number.

42326218368000 is a gapful number since it is divisible by the number (40) 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 42326218368000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87157510420032).

42326218368000 is an abundant number, since it is smaller than the sum of its proper divisors (131988802472064).

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

42326218368000 is a wasteful number, since it uses less digits than its factorization.

42326218368000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5248835 (or 5248804 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

It can be divided in two parts, 4232621 and 8368000, that added together give a palindrome (12600621).

The spelling of 42326218368000 in words is "forty-two trillion, three hundred twenty-six billion, two hundred eighteen million, three hundred sixty-eight thousand".