300320005010340 has 192 divisors, whose sum is σ = 962313000768000. Its totient is φ = 68552517279744.

The previous prime is 300320005010293. The next prime is 300320005010359. The reversal of 300320005010340 is 43010500023003.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4736204556 + ... + 4736267964.

It is an arithmetic number, because the mean of its divisors is an integer number (5012046879000).

Almost surely, 2^{300320005010340} is an apocalyptic number.

300320005010340 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 300320005010340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481156500384000).

300320005010340 is an abundant number, since it is smaller than the sum of its proper divisors (661992995757660).

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

300320005010340 is a wasteful number, since it uses less digits than its factorization.

300320005010340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78374 (or 78372 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 21.

Adding to 300320005010340 its reverse (43010500023003), we get a palindrome (343330505033343).

The spelling of 300320005010340 in words is "three hundred trillion, three hundred twenty billion, five million, ten thousand, three hundred forty".