42334122300000 has 576 divisors, whose sum is σ = 146333334067200. Its totient is φ = 10685952000000.

The previous prime is 42334122299969. The next prime is 42334122300023. The reversal of 42334122300000 is 322143324.

It is a super-2 number, since 2×42334122300000² (a number of 28 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9125697681 + ... + 9125702319.

It is an arithmetic number, because the mean of its divisors is an integer number (254050927200).

Almost surely, 2^{42334122300000} is an apocalyptic number.

42334122300000 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 42334122300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73166667033600).

42334122300000 is an abundant number, since it is smaller than the sum of its proper divisors (103999211767200).

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

42334122300000 is a wasteful number, since it uses less digits than its factorization.

42334122300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6297 (or 6269 counting only the distinct ones).

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

Adding to 42334122300000 its reverse (322143324), we get a palindrome (42334444443324).

The spelling of 42334122300000 in words is "forty-two trillion, three hundred thirty-four billion, one hundred twenty-two million, three hundred thousand".