305414041405050 has 480 divisors, whose sum is σ = 871006660421040. Its totient is φ = 79325277696000.

The previous prime is 305414041404961. The next prime is 305414041405073. The reversal of 305414041405050 is 50504140414503.

305414041405050 is a `hidden beast` number, since 3 + 0 + 5 + 4 + 1 + 4 + 0 + 4 + 140 + 505 + 0 = 666.

It can be written as a sum of positive squares in 24 ways, for example, as 45344910902769 + 260069130502281 = 6733863^2 + 16126659^2 .

It is a junction number, because it is equal to n+sod(n) for n = 305414041404996 and 305414041405014.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 11615779704 + ... + 11615805996.

Almost surely, 2^{305414041405050} is an apocalyptic number.

305414041405050 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 305414041405050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435503330210520).

305414041405050 is an abundant number, since it is smaller than the sum of its proper divisors (565592619015990).

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

305414041405050 is a wasteful number, since it uses less digits than its factorization.

305414041405050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26880 (or 26866 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

Adding to 305414041405050 its reverse (50504140414503), we get a palindrome (355918181819553).

The spelling of 305414041405050 in words is "three hundred five trillion, four hundred fourteen billion, forty-one million, four hundred five thousand, fifty".