1730230419456 has 1632 divisors, whose sum is σ = 6925179276288. Its totient is φ = 417878507520.

The previous prime is 1730230419431. The next prime is 1730230419493. The reversal of 1730230419456 is 6549140320371.

1730230419456 is a `hidden beast` number, since 173 + 0 + 23 + 0 + 4 + 1 + 9 + 456 = 666.

It is a tau number, because it is divible by the number of its divisors (1632).

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 95 ways as a sum of consecutive naturals, for example, 20846149591 + ... + 20846149673.

Almost surely, 2^{1730230419456} is an apocalyptic number.

1730230419456 is a gapful number since it is divisible by the number (16) 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 1730230419456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3462589638144).

1730230419456 is an abundant number, since it is smaller than the sum of its proper divisors (5194948856832).

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

1730230419456 is an frugal number, since it uses more digits than its factorization.

1730230419456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 1730230419456 in words is "one trillion, seven hundred thirty billion, two hundred thirty million, four hundred nineteen thousand, four hundred fifty-six".