305827260144 has 240 divisors, whose sum is σ = 983147887008. Its totient is φ = 81390403584.

The previous prime is 305827260121. The next prime is 305827260181. The reversal of 305827260144 is 441062728503.

305827260144 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 305827260096 and 305827260105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3839022 + ... + 3917874.

Almost surely, 2^305827260144 is an apocalyptic number.

305827260144 is a gapful number since it is divisible by the number (34) 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 305827260144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491573943504).

305827260144 is an abundant number, since it is smaller than the sum of its proper divisors (677320626864).

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

305827260144 is a wasteful number, since it uses less digits than its factorization.

305827260144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78992 (or 78979 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 42.

Adding to 305827260144 its reverse (441062728503), we get a palindrome (746889988647).

The spelling of 305827260144 in words is "three hundred five billion, eight hundred twenty-seven million, two hundred sixty thousand, one hundred forty-four".