42563347200 has 972 divisors, whose sum is σ = 173537267904. Its totient is φ = 9934848000.

The previous prime is 42563347187. The next prime is 42563347201. The reversal of 42563347200 is 274336524.

42563347200 is a `hidden beast` number, since 4 + 256 + 334 + 72 + 0 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (42563347201) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 216057502 + ... + 216057698.

Almost surely, 2^42563347200 is an apocalyptic number.

42563347200 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 42563347200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86768633952).

42563347200 is an abundant number, since it is smaller than the sum of its proper divisors (130973920704).

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

42563347200 is a wasteful number, since it uses less digits than its factorization.

42563347200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 36.

The spelling of 42563347200 in words is "forty-two billion, five hundred sixty-three million, three hundred forty-seven thousand, two hundred".