30314414000 has 320 divisors, whose sum is σ = 83142678528. Its totient is φ = 10606464000.

The previous prime is 30314413981. The next prime is 30314414003. The reversal of 30314414000 is 41441303.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (30314414003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 97473845 + ... + 97474155.

Almost surely, 2^30314414000 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 30314414000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41571339264).

30314414000 is an abundant number, since it is smaller than the sum of its proper divisors (52828264528).

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

30314414000 is a wasteful number, since it uses less digits than its factorization.

30314414000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 30314414000 its reverse (41441303), we get a palindrome (30355855303).

The spelling of 30314414000 in words is "thirty billion, three hundred fourteen million, four hundred fourteen thousand".