42334040130000 has 200 divisors, whose sum is σ = 137346678744000. Its totient is φ = 11232346752000.

The previous prime is 42334040129993. The next prime is 42334040130007. The reversal of 42334040130000 is 3104043324.

It is an interprime number because it is at equal distance from previous prime (42334040129993) and next prime (42334040130007).

It is a tau number, because it is divible by the number of its divisors (200).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42334040130007) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 2424436 + ... + 9515564.

It is an arithmetic number, because the mean of its divisors is an integer number (686733393720).

Almost surely, 2^{42334040130000} is an apocalyptic number.

42334040130000 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 42334040130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68673339372000).

42334040130000 is an abundant number, since it is smaller than the sum of its proper divisors (95012638614000).

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

42334040130000 is a wasteful number, since it uses less digits than its factorization.

42334040130000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7091359 (or 7091338 counting only the distinct ones).

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

Adding to 42334040130000 its reverse (3104043324), we get a palindrome (42337144173324).

The spelling of 42334040130000 in words is "forty-two trillion, three hundred thirty-four billion, forty million, one hundred thirty thousand".