305413200544020 has 48 divisors (see below), whose sum is σ = 855510771181248. Its totient is φ = 81409823987200.

The previous prime is 305413200544009. The next prime is 305413200544027. The reversal of 305413200544020 is 20445002314503.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (305413200544027) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1052858706 + ... + 1053148745.

It is an arithmetic number, because the mean of its divisors is an integer number (17823141066276).

Almost surely, 2^{305413200544020} is an apocalyptic number.

305413200544020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

305413200544020 is an abundant number, since it is smaller than the sum of its proper divisors (550097570637228).

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

305413200544020 is a wasteful number, since it uses less digits than its factorization.

305413200544020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2106009880 (or 2106009878 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 33.

Adding to 305413200544020 its reverse (20445002314503), we get a palindrome (325858202858523).

The spelling of 305413200544020 in words is "three hundred five trillion, four hundred thirteen billion, two hundred million, five hundred forty-four thousand, twenty".