42224726016 has 312 divisors, whose sum is σ = 137388625920. Its totient is φ = 12378931200.

The previous prime is 42224725993. The next prime is 42224726041. The reversal of 42224726016 is 61062742224.

42224726016 is a `hidden beast` number, since 4 + 2 + 2 + 2 + 47 + 2 + 601 + 6 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12568945 + ... + 12572303.

It is an arithmetic number, because the mean of its divisors is an integer number (440348160).

Almost surely, 2^42224726016 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 42224726016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68694312960).

42224726016 is an abundant number, since it is smaller than the sum of its proper divisors (95163899904).

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

42224726016 is a wasteful number, since it uses less digits than its factorization.

42224726016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3431 (or 3406 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 42224726016 in words is "forty-two billion, two hundred twenty-four million, seven hundred twenty-six thousand, sixteen".