458291727040 has 112 divisors (see below), whose sum is σ = 1248928192512. Its totient is φ = 156911901696.

The previous prime is 458291726989. The next prime is 458291727043. The reversal of 458291727040 is 40727192854.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (458291727043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1487769 + ... + 1769191.

It is an arithmetic number, because the mean of its divisors is an integer number (11151144576).

Almost surely, 2^458291727040 is an apocalyptic number.

458291727040 is a gapful number since it is divisible by the number (40) 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 458291727040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624464096256).

458291727040 is an abundant number, since it is smaller than the sum of its proper divisors (790636465472).

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

458291727040 is a wasteful number, since it uses less digits than its factorization.

458291727040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282174 (or 282164 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 49.

The spelling of 458291727040 in words is "four hundred fifty-eight billion, two hundred ninety-one million, seven hundred twenty-seven thousand, forty".