301320420143340 has 192 divisors, whose sum is σ = 924915490652160. Its totient is φ = 72848886589440.

The previous prime is 301320420143311. The next prime is 301320420143357. The reversal of 301320420143340 is 43341024023103.

It is a happy number.

It is a super-2 number, since 2×301320420143340² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 301320420143298 and 301320420143307.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 1031569 + ... + 24570408.

It is an arithmetic number, because the mean of its divisors is an integer number (4817268180480).

Almost surely, 2^{301320420143340} is an apocalyptic number.

301320420143340 is a gapful number since it is divisible by the number (30) 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 301320420143340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462457745326080).

301320420143340 is an abundant number, since it is smaller than the sum of its proper divisors (623595070508820).

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

301320420143340 is a wasteful number, since it uses less digits than its factorization.

301320420143340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25602272 (or 25602270 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 301320420143340 its reverse (43341024023103), we get a palindrome (344661444166443).

The spelling of 301320420143340 in words is "three hundred one trillion, three hundred twenty billion, four hundred twenty million, one hundred forty-three thousand, three hundred forty".