300010419072 has 384 divisors, whose sum is σ = 1108743068160. Its totient is φ = 75682861056.

The previous prime is 300010419029. The next prime is 300010419077. The reversal of 300010419072 is 270914010003.

300010419072 is a `hidden beast` number, since 300 + 0 + 104 + 190 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×300010419072² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (300010419077) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2348923 + ... + 2473349.

It is an arithmetic number, because the mean of its divisors is an integer number (2887351740).

Almost surely, 2^300010419072 is an apocalyptic number.

300010419072 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 300010419072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (554371534080).

300010419072 is an abundant number, since it is smaller than the sum of its proper divisors (808732649088).

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

300010419072 is a wasteful number, since it uses less digits than its factorization.

300010419072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124490 (or 124475 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

Adding to 300010419072 its reverse (270914010003), we get a palindrome (570924429075).

The spelling of 300010419072 in words is "three hundred billion, ten million, four hundred nineteen thousand, seventy-two".