42005523456 has 352 divisors, whose sum is σ = 141043212800. Its totient is φ = 12242534400.

The previous prime is 42005523449. The next prime is 42005523457. The reversal of 42005523456 is 65432550024.

42005523456 is a `hidden beast` number, since 4 + 20 + 0 + 552 + 34 + 56 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 42005523456.

It is not an unprimeable number, because it can be changed into a prime (42005523457) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6825981 + ... + 6832131.

Almost surely, 2^42005523456 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 42005523456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70521606400).

42005523456 is an abundant number, since it is smaller than the sum of its proper divisors (99037689344).

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

42005523456 is a wasteful number, since it uses less digits than its factorization.

42005523456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6212 (or 6188 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

The spelling of 42005523456 in words is "forty-two billion, five million, five hundred twenty-three thousand, four hundred fifty-six".