450440022000 has 320 divisors, whose sum is σ = 1491930760320. Its totient is φ = 116849664000.

The previous prime is 450440021989. The next prime is 450440022023. The reversal of 450440022000 is 220044054.

It is a congruent number.

It is an unprimeable number.

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, 91755546 + ... + 91760454.

It is an arithmetic number, because the mean of its divisors is an integer number (4662283626).

Almost surely, 2^450440022000 is an apocalyptic number.

450440022000 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 450440022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (745965380160).

450440022000 is an abundant number, since it is smaller than the sum of its proper divisors (1041490738320).

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

450440022000 is a wasteful number, since it uses less digits than its factorization.

450440022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5349 (or 5333 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 21.

Adding to 450440022000 its reverse (220044054), we get a palindrome (450660066054).

The spelling of 450440022000 in words is "four hundred fifty billion, four hundred forty million, twenty-two thousand".