42281491200 has 432 divisors, whose sum is σ = 152789866656. Its totient is φ = 10233446400.

The previous prime is 42281491193. The next prime is 42281491207. The reversal of 42281491200 is 219418224.

It is an interprime number because it is at equal distance from previous prime (42281491193) and next prime (42281491207).

It is not an unprimeable number, because it can be changed into a prime (42281491207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15224212 + ... + 15226988.

Almost surely, 2^42281491200 is an apocalyptic number.

42281491200 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 42281491200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76394933328).

42281491200 is an abundant number, since it is smaller than the sum of its proper divisors (110508375456).

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

42281491200 is a wasteful number, since it uses less digits than its factorization.

42281491200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2880 (or 2861 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The spelling of 42281491200 in words is "forty-two billion, two hundred eighty-one million, four hundred ninety-one thousand, two hundred".