300342414001440 has 384 divisors, whose sum is σ = 1000891818823680. Its totient is φ = 75493748736000.

The previous prime is 300342414001417. The next prime is 300342414001471. The reversal of 300342414001440 is 44100414243003.

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 = 300342414001398 and 300342414001407.

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, 6960243865 + ... + 6960287015.

It is an arithmetic number, because the mean of its divisors is an integer number (2606489111520).

Almost surely, 2^{300342414001440} is an apocalyptic number.

300342414001440 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 300342414001440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500445909411840).

300342414001440 is an abundant number, since it is smaller than the sum of its proper divisors (700549404822240).

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

300342414001440 is a wasteful number, since it uses less digits than its factorization.

300342414001440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47016 (or 47008 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 300342414001440 its reverse (44100414243003), we get a palindrome (344442828244443).

The spelling of 300342414001440 in words is "three hundred trillion, three hundred forty-two billion, four hundred fourteen million, one thousand, four hundred forty".