42442130000000 has 512 divisors, whose sum is σ = 111230715248640. Its totient is φ = 16099776000000.

The previous prime is 42442129999993. The next prime is 42442130000009. The reversal of 42442130000000 is 3124424.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (42442130000009) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29209999274 + ... + 29210000726.

It is an arithmetic number, because the mean of its divisors is an integer number (217247490720).

Almost surely, 2^{42442130000000} is an apocalyptic number.

42442130000000 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 42442130000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55615357624320).

42442130000000 is an abundant number, since it is smaller than the sum of its proper divisors (68788585248640).

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

42442130000000 is an frugal number, since it uses more digits than its factorization.

42442130000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1652 (or 1610 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 42442130000000 its reverse (3124424), we get a palindrome (42442133124424).

The spelling of 42442130000000 in words is "forty-two trillion, four hundred forty-two billion, one hundred thirty million", and thus it is an aban number.