42713827200 has 960 divisors, whose sum is σ = 175201107840. Its totient is φ = 10160640000.

The previous prime is 42713827193. The next prime is 42713827201. The reversal of 42713827200 is 272831724.

42713827200 is a `hidden beast` number, since 4 + 2 + 71 + 382 + 7 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42713827201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 202435095 + ... + 202435305.

It is an arithmetic number, because the mean of its divisors is an integer number (182501154).

Almost surely, 2^42713827200 is an apocalyptic number.

42713827200 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 42713827200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87600553920).

42713827200 is an abundant number, since it is smaller than the sum of its proper divisors (132487280640).

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

42713827200 is a wasteful number, since it uses less digits than its factorization.

42713827200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The spelling of 42713827200 in words is "forty-two billion, seven hundred thirteen million, eight hundred twenty-seven thousand, two hundred".