30430412212400 has 240 divisors, whose sum is σ = 76216061859840. Its totient is φ = 11663214182400.

The previous prime is 30430412212357. The next prime is 30430412212429. The reversal of 30430412212400 is 421221403403.

It is a self number, because there is not a number n which added to its sum of digits gives 30430412212400.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 532167011 + ... + 532224189.

It is an arithmetic number, because the mean of its divisors is an integer number (317566924416).

Almost surely, 2^{30430412212400} 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 30430412212400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38108030929920).

30430412212400 is an abundant number, since it is smaller than the sum of its proper divisors (45785649647440).

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

30430412212400 is a wasteful number, since it uses less digits than its factorization.

30430412212400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57652 (or 57641 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 30430412212400 its reverse (421221403403), we get a palindrome (30851633615803).

The spelling of 30430412212400 in words is "thirty trillion, four hundred thirty billion, four hundred twelve million, two hundred twelve thousand, four hundred".