30014412202400 has 144 divisors (see below), whose sum is σ = 73951453366560. Its totient is φ = 11894844748800.

The previous prime is 30014412202367. The next prime is 30014412202477. The reversal of 30014412202400 is 420221441003.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 64639862 + ... + 65102538.

It is an arithmetic number, because the mean of its divisors is an integer number (513551759490).

Almost surely, 2^{30014412202400} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30014412202400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36975726683280).

30014412202400 is an abundant number, since it is smaller than the sum of its proper divisors (43937041164160).

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

30014412202400 is a wasteful number, since it uses less digits than its factorization.

30014412202400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463447 (or 463434 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 30014412202400 its reverse (420221441003), we get a palindrome (30434633643403).

The spelling of 30014412202400 in words is "thirty trillion, fourteen billion, four hundred twelve million, two hundred two thousand, four hundred".