30414003120 has 200 divisors, whose sum is σ = 105817450464. Its totient is φ = 8096191488.

The previous prime is 30414003101. The next prime is 30414003127. The reversal of 30414003120 is 2130041403.

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

It is a junction number, because it is equal to n+sod(n) for n = 30414003093 and 30414003102.

It is not an unprimeable number, because it can be changed into a prime (30414003127) 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 39 ways as a sum of consecutive naturals, for example, 3994357 + ... + 4001963.

Almost surely, 2^30414003120 is an apocalyptic number.

30414003120 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 30414003120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52908725232).

30414003120 is an abundant number, since it is smaller than the sum of its proper divisors (75403447344).

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

30414003120 is a wasteful number, since it uses less digits than its factorization.

30414003120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8249 (or 8234 counting only the distinct ones).

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

Adding to 30414003120 its reverse (2130041403), we get a palindrome (32544044523).

The spelling of 30414003120 in words is "thirty billion, four hundred fourteen million, three thousand, one hundred twenty".