42242133300000 has 288 divisors, whose sum is σ = 138991106749824. Its totient is φ = 11232629760000.

The previous prime is 42242133299983. The next prime is 42242133300011. The reversal of 42242133300000 is 333124224.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 105700557 + ... + 106099443.

It is an arithmetic number, because the mean of its divisors is an integer number (482608009548).

Almost surely, 2^{42242133300000} is an apocalyptic number.

42242133300000 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 42242133300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69495553374912).

42242133300000 is an abundant number, since it is smaller than the sum of its proper divisors (96748973449824).

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

42242133300000 is an equidigital number, since it uses as much as digits as its factorization.

42242133300000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399278 (or 399250 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 42242133300000 its reverse (333124224), we get a palindrome (42242466424224).

The spelling of 42242133300000 in words is "forty-two trillion, two hundred forty-two billion, one hundred thirty-three million, three hundred thousand".