301053412140 has 192 divisors, whose sum is σ = 912764160000. Its totient is φ = 73700591616.

The previous prime is 301053412111. The next prime is 301053412229. The reversal of 301053412140 is 41214350103.

It is a happy number.

It is a super-2 number, since 2×301053412140² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 301053412140.

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, 215191161 + ... + 215192559.

It is an arithmetic number, because the mean of its divisors is an integer number (4753980000).

Almost surely, 2^301053412140 is an apocalyptic number.

301053412140 is a gapful number since it is divisible by the number (30) 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 301053412140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456382080000).

301053412140 is an abundant number, since it is smaller than the sum of its proper divisors (611710747860).

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

301053412140 is a wasteful number, since it uses less digits than its factorization.

301053412140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2736 (or 2734 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 301053412140 its reverse (41214350103), we get a palindrome (342267762243).

The spelling of 301053412140 in words is "three hundred one billion, fifty-three million, four hundred twelve thousand, one hundred forty".