30000344135400 has 144 divisors (see below), whose sum is σ = 100782748553760. Its totient is φ = 7997583158400.

The previous prime is 30000344135347. The next prime is 30000344135413. The reversal of 30000344135400 is 453144300003.

30000344135400 is a `hidden beast` number, since 300 + 0 + 0 + 3 + 4 + 4 + 1 + 354 + 0 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3132259 + ... + 8355341.

It is an arithmetic number, because the mean of its divisors is an integer number (699880198290).

Almost surely, 2^{30000344135400} is an apocalyptic number.

30000344135400 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 30000344135400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50391374276880).

30000344135400 is an abundant number, since it is smaller than the sum of its proper divisors (70782404418360).

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

30000344135400 is a wasteful number, since it uses less digits than its factorization.

30000344135400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5226296 (or 5226284 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

Adding to 30000344135400 its reverse (453144300003), we get a palindrome (30453488435403).

The spelling of 30000344135400 in words is "thirty trillion, three hundred forty-four million, one hundred thirty-five thousand, four hundred".