30134214400 has 108 divisors (see below), whose sum is σ = 74757354112. Its totient is φ = 12026142720.

The previous prime is 30134214379. The next prime is 30134214427. The reversal of 30134214400 is 441243103.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 2919649 + ... + 2929951.

Almost surely, 2^30134214400 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 30134214400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37378677056).

30134214400 is an abundant number, since it is smaller than the sum of its proper divisors (44623139712).

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

30134214400 is a wasteful number, since it uses less digits than its factorization.

30134214400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10786 (or 10767 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 30134214400 its reverse (441243103), we get a palindrome (30575457503).

The spelling of 30134214400 in words is "thirty billion, one hundred thirty-four million, two hundred fourteen thousand, four hundred".