300412134102144 has 128 divisors (see below), whose sum is σ = 808917343649280. Its totient is φ = 98763616051200.

The previous prime is 300412134102133. The next prime is 300412134102209. The reversal of 300412134102144 is 441201431214003.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2072921974 + ... + 2073066890.

It is an arithmetic number, because the mean of its divisors is an integer number (6319666747260).

Almost surely, 2^{300412134102144} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 300412134102144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404458671824640).

300412134102144 is an abundant number, since it is smaller than the sum of its proper divisors (508505209547136).

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

300412134102144 is a wasteful number, since it uses less digits than its factorization.

300412134102144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218958 (or 218946 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 300412134102144 its reverse (441201431214003), we get a palindrome (741613565316147).

The spelling of 300412134102144 in words is "three hundred trillion, four hundred twelve billion, one hundred thirty-four million, one hundred two thousand, one hundred forty-four".