42454558748160 has 480 divisors, whose sum is σ = 160511391488448. Its totient is φ = 10307192094720.

The previous prime is 42454558748057. The next prime is 42454558748167. The reversal of 42454558748160 is 6184785545424.

42454558748160 is a `hidden beast` number, since 4 + 2 + 4 + 5 + 4 + 5 + 587 + 48 + 1 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42454558748167) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20894125 + ... + 22835795.

Almost surely, 2^{42454558748160} is an apocalyptic number.

42454558748160 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 42454558748160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80255695744224).

42454558748160 is an abundant number, since it is smaller than the sum of its proper divisors (118056832740288).

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

42454558748160 is a wasteful number, since it uses less digits than its factorization.

42454558748160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1941786 (or 1941767 counting only the distinct ones).

The product of its (nonzero) digits is 172032000, while the sum is 63.

The spelling of 42454558748160 in words is "forty-two trillion, four hundred fifty-four billion, five hundred fifty-eight million, seven hundred forty-eight thousand, one hundred sixty".