42141351330 has 256 divisors, whose sum is σ = 125504225280. Its totient is φ = 9992160000.

The previous prime is 42141351319. The next prime is 42141351409. The reversal of 42141351330 is 3315314124.

It is a happy number.

42141351330 is a `hidden beast` number, since 4 + 2 + 141 + 3 + 513 + 3 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 42141351294 and 42141351303.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 27310539 + ... + 27312081.

It is an arithmetic number, because the mean of its divisors is an integer number (490250880).

Almost surely, 2^42141351330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42141351330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62752112640).

42141351330 is an abundant number, since it is smaller than the sum of its proper divisors (83362873950).

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

42141351330 is a wasteful number, since it uses less digits than its factorization.

42141351330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1854 (or 1848 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 42141351330 its reverse (3315314124), we get a palindrome (45456665454).

The spelling of 42141351330 in words is "forty-two billion, one hundred forty-one million, three hundred fifty-one thousand, three hundred thirty".