30000340410000 has 200 divisors, whose sum is σ = 97187335222560. Its totient is φ = 7971819648000.

The previous prime is 30000340409959. The next prime is 30000340410077. The reversal of 30000340410000 is 1404300003.

It is a tau number, because it is divible by the number of its divisors (200).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6723196 + ... + 10256804.

Almost surely, 2^{30000340410000} is an apocalyptic number.

30000340410000 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 30000340410000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48593667611280).

30000340410000 is an abundant number, since it is smaller than the sum of its proper divisors (67186994812560).

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

30000340410000 is a wasteful number, since it uses less digits than its factorization.

30000340410000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3533923 (or 3533902 counting only the distinct ones).

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

Adding to 30000340410000 its reverse (1404300003), we get a palindrome (30001744710003).

The spelling of 30000340410000 in words is "thirty trillion, three hundred forty million, four hundred ten thousand".