30434304000000 has 476 divisors, whose sum is σ = 101455847286032. Its totient is φ = 8114995200000.

The previous prime is 30434303999989. The next prime is 30434304000011. The reversal of 30434304000000 is 40343403.

It is an interprime number because it is at equal distance from previous prime (30434303999989) and next prime (30434304000011).

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 3071995047 + ... + 3072004953.

Almost surely, 2^{30434304000000} is an apocalyptic number.

30434304000000 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 30434304000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50727923643016).

30434304000000 is an abundant number, since it is smaller than the sum of its proper divisors (71021543286032).

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

30434304000000 is an frugal number, since it uses more digits than its factorization.

30434304000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9972 (or 9917 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 21.

Adding to 30434304000000 its reverse (40343403), we get a palindrome (30434344343403).

The spelling of 30434304000000 in words is "thirty trillion, four hundred thirty-four billion, three hundred four million", and thus it is an aban number.