450013130003200 has 108 divisors (see below), whose sum is σ = 1114072111024488. Its totient is φ = 179969811865600.

The previous prime is 450013130003159. The next prime is 450013130003209. The reversal of 450013130003200 is 2300031310054.

It is not an unprimeable number, because it can be changed into a prime (450013130003209) 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 11 ways as a sum of consecutive naturals, for example, 25599039 + ... + 39437761.

It is an arithmetic number, because the mean of its divisors is an integer number (10315482509486).

Almost surely, 2^{450013130003200} is an apocalyptic number.

450013130003200 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 450013130003200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (557036055512244).

450013130003200 is an abundant number, since it is smaller than the sum of its proper divisors (664058981021288).

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

450013130003200 is a wasteful number, since it uses less digits than its factorization.

450013130003200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13843830 (or 13843811 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 22.

Adding to 450013130003200 its reverse (2300031310054), we get a palindrome (452313161313254).

The spelling of 450013130003200 in words is "four hundred fifty trillion, thirteen billion, one hundred thirty million, three thousand, two hundred".