301241242432 has 56 divisors (see below), whose sum is σ = 645070319712. Its totient is φ = 138751065600.

The previous prime is 301241242387. The next prime is 301241242447. The reversal of 301241242432 is 234242142103.

It is a super-2 number, since 2×301241242432² (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 301241242432.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39807 + ... + 777217.

It is an arithmetic number, because the mean of its divisors is an integer number (11519112852).

Almost surely, 2^301241242432 is an apocalyptic number.

301241242432 is a gapful number since it is divisible by the number (32) 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 301241242432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322535159856).

301241242432 is an abundant number, since it is smaller than the sum of its proper divisors (343829077280).

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

301241242432 is a wasteful number, since it uses less digits than its factorization.

301241242432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 737927 (or 737917 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 301241242432 its reverse (234242142103), we get a palindrome (535483384535).

The spelling of 301241242432 in words is "three hundred one billion, two hundred forty-one million, two hundred forty-two thousand, four hundred thirty-two".