300052002344004 has 384 divisors, whose sum is σ = 822142844006400. Its totient is φ = 94448901381120.

The previous prime is 300052002343991. The next prime is 300052002344011. The reversal of 300052002344004 is 400443200250003.

300052002344004 is a `hidden beast` number, since 3 + 0 + 0 + 0 + 5 + 20 + 0 + 234 + 400 + 4 = 666.

It is a super-3 number, since 3×300052002344004³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 125597320842 + ... + 125597323230.

It is an arithmetic number, because the mean of its divisors is an integer number (2140996989600).

Almost surely, 2^{300052002344004} 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 300052002344004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411071422003200).

300052002344004 is an abundant number, since it is smaller than the sum of its proper divisors (522090841662396).

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

300052002344004 is a wasteful number, since it uses less digits than its factorization.

300052002344004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3960 (or 3952 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 27.

Adding to 300052002344004 its reverse (400443200250003), we get a palindrome (700495202594007).

The spelling of 300052002344004 in words is "three hundred trillion, fifty-two billion, two million, three hundred forty-four thousand, four".