42812352000 has 960 divisors, whose sum is σ = 174768010560. Its totient is φ = 9977856000.

The previous prime is 42812351993. The next prime is 42812352019. The reversal of 42812352000 is 25321824.

42812352000 is a `hidden beast` number, since 42 + 81 + 23 + 520 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 183743884 + ... + 183744116.

It is an arithmetic number, because the mean of its divisors is an integer number (182050011).

Almost surely, 2^42812352000 is an apocalyptic number.

42812352000 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 42812352000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87384005280).

42812352000 is an abundant number, since it is smaller than the sum of its proper divisors (131955658560).

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

42812352000 is a wasteful number, since it uses less digits than its factorization.

42812352000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 42812352000 its reverse (25321824), we get a palindrome (42837673824).

The spelling of 42812352000 in words is "forty-two billion, eight hundred twelve million, three hundred fifty-two thousand".