30241034304000 has 640 divisors, whose sum is σ = 108350099649792. Its totient is φ = 7438992998400.

The previous prime is 30241034303939. The next prime is 30241034304001. The reversal of 30241034304000 is 40343014203.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (30241034304001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4984508967 + ... + 4984515033.

Almost surely, 2^{30241034304000} is an apocalyptic number.

30241034304000 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 30241034304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54175049824896).

30241034304000 is an abundant number, since it is smaller than the sum of its proper divisors (78109065345792).

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

30241034304000 is a wasteful number, since it uses less digits than its factorization.

30241034304000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8113 (or 8087 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 30241034304000 its reverse (40343014203), we get a palindrome (30281377318203).

The spelling of 30241034304000 in words is "thirty trillion, two hundred forty-one billion, thirty-four million, three hundred four thousand".