42447283200 has 1056 divisors, whose sum is σ = 184543109120. Its totient is φ = 9356083200.

The previous prime is 42447283183. The next prime is 42447283201. The reversal of 42447283200 is 238274424.

42447283200 is a `hidden beast` number, since 4 + 2 + 447 + 2 + 8 + 3 + 200 = 666.

It is a super-2 number, since 2×42447283200² (a number of 22 digits) contains 22 as substring.

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 (42447283201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 149990259 + ... + 149990541.

Almost surely, 2^42447283200 is an apocalyptic number.

42447283200 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 42447283200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92271554560).

42447283200 is an abundant number, since it is smaller than the sum of its proper divisors (142095825920).

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

42447283200 is a wasteful number, since it uses less digits than its factorization.

42447283200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 36.

The spelling of 42447283200 in words is "forty-two billion, four hundred forty-seven million, two hundred eighty-three thousand, two hundred".