42361224032 has 48 divisors (see below), whose sum is σ = 85112959680. Its totient is φ = 20747782272.

The previous prime is 42361224023. The next prime is 42361224083. The reversal of 42361224032 is 23042216324.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 42361223986 and 42361224004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 494663 + ... + 573945.

It is an arithmetic number, because the mean of its divisors is an integer number (1773186660).

Almost surely, 2^42361224032 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 42361224032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42556479840).

42361224032 is an abundant number, since it is smaller than the sum of its proper divisors (42751735648).

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

42361224032 is a wasteful number, since it uses less digits than its factorization.

42361224032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79635 (or 79627 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 29.

The spelling of 42361224032 in words is "forty-two billion, three hundred sixty-one million, two hundred twenty-four thousand, thirty-two".