30412402400 has 72 divisors (see below), whose sum is σ = 74486716920. Its totient is φ = 12125237760.

The previous prime is 30412402357. The next prime is 30412402403. The reversal of 30412402400 is 420421403.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30412402403) 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 11 ways as a sum of consecutive naturals, for example, 183686 + ... + 307514.

It is an arithmetic number, because the mean of its divisors is an integer number (1034537735).

Almost surely, 2^30412402400 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 30412402400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37243358460).

30412402400 is an abundant number, since it is smaller than the sum of its proper divisors (44074314520).

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

30412402400 is a wasteful number, since it uses less digits than its factorization.

30412402400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124156 (or 124143 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 30412402400 its reverse (420421403), we get a palindrome (30832823803).

The spelling of 30412402400 in words is "thirty billion, four hundred twelve million, four hundred two thousand, four hundred".