433125097344 has 576 divisors, whose sum is σ = 1359442038240. Its totient is φ = 137298530304.

The previous prime is 433125097337. The next prime is 433125097411. The reversal of 433125097344 is 443790521334.

433125097344 is a `hidden beast` number, since 4 + 3 + 31 + 2 + 509 + 73 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a self number, because there is not a number n which added to its sum of digits gives 433125097344.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1646863357 + ... + 1646863619.

Almost surely, 2^433125097344 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 433125097344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (679721019120).

433125097344 is an abundant number, since it is smaller than the sum of its proper divisors (926316940896).

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

433125097344 is an frugal number, since it uses more digits than its factorization.

433125097344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The spelling of 433125097344 in words is "four hundred thirty-three billion, one hundred twenty-five million, ninety-seven thousand, three hundred forty-four".