42454464000 has 640 divisors, whose sum is σ = 154751845248. Its totient is φ = 10262937600.

The previous prime is 42454463999. The next prime is 42454464007. The reversal of 42454464000 is 46445424.

It is a tau number, because it is divible by the number of its divisors (640).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42454464007) 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 63 ways as a sum of consecutive naturals, for example, 182207884 + ... + 182208116.

Almost surely, 2^42454464000 is an apocalyptic number.

42454464000 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 42454464000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77375922624).

42454464000 is an abundant number, since it is smaller than the sum of its proper divisors (112297381248).

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

42454464000 is a wasteful number, since it uses less digits than its factorization.

42454464000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 33.

The spelling of 42454464000 in words is "forty-two billion, four hundred fifty-four million, four hundred sixty-four thousand".