301423142340320 has 1152 divisors, whose sum is σ = 995622981937920. Its totient is φ = 83856929587200.

The previous prime is 301423142340253. The next prime is 301423142340329. The reversal of 301423142340320 is 23043241324103.

It is a super-2 number, since 2×301423142340320² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (301423142340329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8162215616 + ... + 8162252544.

It is an arithmetic number, because the mean of its divisors is an integer number (864256060710).

Almost surely, 2^{301423142340320} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 301423142340320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (497811490968960).

301423142340320 is an abundant number, since it is smaller than the sum of its proper divisors (694199839597600).

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

301423142340320 is a wasteful number, since it uses less digits than its factorization.

301423142340320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37140 (or 37121 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 32.

Adding to 301423142340320 its reverse (23043241324103), we get a palindrome (324466383664423).

The spelling of 301423142340320 in words is "three hundred one trillion, four hundred twenty-three billion, one hundred forty-two million, three hundred forty thousand, three hundred twenty".