30300014400000 has 960 divisors, whose sum is σ = 107427305462400. Its totient is φ = 7566704640000.

The previous prime is 30300014399989. The next prime is 30300014400053. The reversal of 30300014400000 is 441000303.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8116798134 + ... + 8116801866.

It is an arithmetic number, because the mean of its divisors is an integer number (111903443190).

Almost surely, 2^{30300014400000} is an apocalyptic number.

30300014400000 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 30300014400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53713652731200).

30300014400000 is an abundant number, since it is smaller than the sum of its proper divisors (77127291062400).

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

30300014400000 is an frugal number, since it uses more digits than its factorization.

30300014400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3887 (or 3851 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 30300014400000 its reverse (441000303), we get a palindrome (30300455400303).

The spelling of 30300014400000 in words is "thirty trillion, three hundred billion, fourteen million, four hundred thousand".