458638372745440 has 24 divisors (see below), whose sum is σ = 1083533155611480. Its totient is φ = 183455349098112.

The previous prime is 458638372745429. The next prime is 458638372745447. The reversal of 458638372745440 is 44547273836854.

It is a self number, because there is not a number n which added to its sum of digits gives 458638372745440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (458638372745447) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 1433244914670 + ... + 1433244914989.

It is an arithmetic number, because the mean of its divisors is an integer number (45147214817145).

Almost surely, 2^{458638372745440} is an apocalyptic number.

458638372745440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

458638372745440 is an abundant number, since it is smaller than the sum of its proper divisors (624894782866040).

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

458638372745440 is a wasteful number, since it uses less digits than its factorization.

458638372745440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2866489829674 (or 2866489829666 counting only the distinct ones).

The product of its (nonzero) digits is 2167603200, while the sum is 70.

The spelling of 458638372745440 in words is "four hundred fifty-eight trillion, six hundred thirty-eight billion, three hundred seventy-two million, seven hundred forty-five thousand, four hundred forty".