30414304434140 has 192 divisors, whose sum is σ = 74178770416128. Its totient is φ = 10352335257600.

The previous prime is 30414304434133. The next prime is 30414304434203. The reversal of 30414304434140 is 4143440341403.

It is a super-3 number, since 3×30414304434140³ (a number of 41 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 30414304434140.

It is a congruent number.

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, 618014135 + ... + 618063345.

It is an arithmetic number, because the mean of its divisors is an integer number (386347762584).

Almost surely, 2^{30414304434140} 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 30414304434140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37089385208064).

30414304434140 is an abundant number, since it is smaller than the sum of its proper divisors (43764465981988).

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

30414304434140 is a wasteful number, since it uses less digits than its factorization.

30414304434140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50148 (or 50146 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 35.

Adding to 30414304434140 its reverse (4143440341403), we get a palindrome (34557744775543).

The spelling of 30414304434140 in words is "thirty trillion, four hundred fourteen billion, three hundred four million, four hundred thirty-four thousand, one hundred forty".