30414312000 has 448 divisors, whose sum is σ = 112500460800. Its totient is φ = 8044185600.

The previous prime is 30414311999. The next prime is 30414312011. The reversal of 30414312000 is 21341403.

30414312000 is a `hidden beast` number, since 30 + 4 + 1 + 431 + 200 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30023494 + ... + 30024506.

It is an arithmetic number, because the mean of its divisors is an integer number (251117100).

Almost surely, 2^30414312000 is an apocalyptic number.

30414312000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30414312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56250230400).

30414312000 is an abundant number, since it is smaller than the sum of its proper divisors (82086148800).

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

30414312000 is a wasteful number, since it uses less digits than its factorization.

30414312000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1188 (or 1162 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 30414312000 its reverse (21341403), we get a palindrome (30435653403).

The spelling of 30414312000 in words is "thirty billion, four hundred fourteen million, three hundred twelve thousand".