450141888000 has 640 divisors, whose sum is σ = 1750412252160. Its totient is φ = 100483891200.

The previous prime is 450141887983. The next prime is 450141888067. The reversal of 450141888000 is 888141054.

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

It is a self number, because there is not a number n which added to its sum of digits gives 450141888000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 57788106 + ... + 57795894.

It is an arithmetic number, because the mean of its divisors is an integer number (2735019144).

Almost surely, 2^450141888000 is an apocalyptic number.

450141888000 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 450141888000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (875206126080).

450141888000 is an abundant number, since it is smaller than the sum of its proper divisors (1300270364160).

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

450141888000 is an equidigital number, since it uses as much as digits as its factorization.

450141888000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7875 (or 7849 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 39.

The spelling of 450141888000 in words is "four hundred fifty billion, one hundred forty-one million, eight hundred eighty-eight thousand".