30111214400 has 168 divisors, whose sum is σ = 76144099680. Its totient is φ = 11713443840.

The previous prime is 30111214387. The next prime is 30111214403. The reversal of 30111214400 is 441211103.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30111214403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18506387 + ... + 18508013.

Almost surely, 2^30111214400 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 30111214400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38072049840).

30111214400 is an abundant number, since it is smaller than the sum of its proper divisors (46032885280).

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

30111214400 is a wasteful number, since it uses less digits than its factorization.

30111214400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1961 (or 1946 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 30111214400 its reverse (441211103), we get a palindrome (30552425503).

The spelling of 30111214400 in words is "thirty billion, one hundred eleven million, two hundred fourteen thousand, four hundred".