458130796419072 has 288 divisors, whose sum is σ = 1442347892294400. Its totient is φ = 126672098181120.

The previous prime is 458130796419053. The next prime is 458130796419089. The reversal of 458130796419072 is 270914697031854.

It is a junction number, because it is equal to n+sod(n) for n = 458130796418994 and 458130796419012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35788429 + ... + 46872947.

It is an arithmetic number, because the mean of its divisors is an integer number (5008152403800).

It is a 1-persistent number, because it is pandigital, but 2⋅458130796419072 = 916261592838144 is not.

Almost surely, 2^{458130796419072} is an apocalyptic number.

458130796419072 is a gapful number since it is divisible by the number (42) 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 458130796419072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (721173946147200).

458130796419072 is an abundant number, since it is smaller than the sum of its proper divisors (984217095875328).

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

458130796419072 is a wasteful number, since it uses less digits than its factorization.

458130796419072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11084613 (or 11084562 counting only the distinct ones).

The product of its (nonzero) digits is 91445760, while the sum is 66.

The spelling of 458130796419072 in words is "four hundred fifty-eight trillion, one hundred thirty billion, seven hundred ninety-six million, four hundred nineteen thousand, seventy-two".