42454286400 has 168 divisors, whose sum is σ = 142683305184. Its totient is φ = 11044966400.

The previous prime is 42454286389. The next prime is 42454286401. The reversal of 42454286400 is 468245424.

It is not an unprimeable number, because it can be changed into a prime (42454286401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 88939 + ... + 304661.

It is an arithmetic number, because the mean of its divisors is an integer number (849305388).

Almost surely, 2^42454286400 is an apocalyptic number.

42454286400 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 42454286400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71341652592).

42454286400 is an abundant number, since it is smaller than the sum of its proper divisors (100229018784).

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

42454286400 is a wasteful number, since it uses less digits than its factorization.

42454286400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215789 (or 215774 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 39.

The spelling of 42454286400 in words is "forty-two billion, four hundred fifty-four million, two hundred eighty-six thousand, four hundred".