42281020800 has 288 divisors, whose sum is σ = 151720601760. Its totient is φ = 11211264000.

The previous prime is 42281020783. The next prime is 42281020801. The reversal of 42281020800 is 802018224.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42281020801) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5208745 + ... + 5216855.

It is an arithmetic number, because the mean of its divisors is an integer number (526807645).

Almost surely, 2^42281020800 is an apocalyptic number.

42281020800 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 42281020800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75860300880).

42281020800 is an abundant number, since it is smaller than the sum of its proper divisors (109439580960).

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

42281020800 is a wasteful number, since it uses less digits than its factorization.

42281020800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8322 (or 8302 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The spelling of 42281020800 in words is "forty-two billion, two hundred eighty-one million, twenty thousand, eight hundred".