305124042042 has 72 divisors (see below), whose sum is σ = 692795574900. Its totient is φ = 100774440576.

The previous prime is 305124042007. The next prime is 305124042061. The reversal of 305124042042 is 240240421503.

305124042042 is a `hidden beast` number, since 3 + 0 + 51 + 2 + 404 + 204 + 2 = 666.

305124042042 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 280710292041 + 24413750001 = 529821^2 + 156249^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 305124041997 and 305124042015.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1323634 + ... + 1536962.

Almost surely, 2^305124042042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 305124042042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346397787450).

305124042042 is an abundant number, since it is smaller than the sum of its proper divisors (387671532858).

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

305124042042 is an equidigital number, since it uses as much as digits as its factorization.

305124042042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213464 (or 213443 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 305124042042 its reverse (240240421503), we get a palindrome (545364463545).

The spelling of 305124042042 in words is "three hundred five billion, one hundred twenty-four million, forty-two thousand, forty-two".