42227533824 has 192 divisors, whose sum is σ = 133102569600. Its totient is φ = 11648630784.

The previous prime is 42227533793. The next prime is 42227533847. The reversal of 42227533824 is 42833572224.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×42227533824² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1230304 + ... + 1264160.

It is an arithmetic number, because the mean of its divisors is an integer number (693242550).

Almost surely, 2^42227533824 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 42227533824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66551284800).

42227533824 is an abundant number, since it is smaller than the sum of its proper divisors (90875035776).

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

42227533824 is a wasteful number, since it uses less digits than its factorization.

42227533824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33918 (or 33898 counting only the distinct ones).

The product of its digits is 645120, while the sum is 42.

The spelling of 42227533824 in words is "forty-two billion, two hundred twenty-seven million, five hundred thirty-three thousand, eight hundred twenty-four".