450212160000 has 400 divisors, whose sum is σ = 1507624005888. Its totient is φ = 119347200000.

The previous prime is 450212159981. The next prime is 450212160011. The reversal of 450212160000 is 61212054.

It is a tau number, because it is divible by the number of its divisors (400).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 173758705 + ... + 173761295.

Almost surely, 2^450212160000 is an apocalyptic number.

450212160000 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 450212160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (753812002944).

450212160000 is an abundant number, since it is smaller than the sum of its proper divisors (1057411845888).

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

450212160000 is an equidigital number, since it uses as much as digits as its factorization.

450212160000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2813 (or 2782 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

Adding to 450212160000 its reverse (61212054), we get a palindrome (450273372054).

The spelling of 450212160000 in words is "four hundred fifty billion, two hundred twelve million, one hundred sixty thousand".