450310421200000 has 192 divisors, whose sum is σ = 1121598924402600. Its totient is φ = 180077230080000.

The previous prime is 450310421199931. The next prime is 450310421200019. The reversal of 450310421200000 is 2124013054.

It can be written as a sum of positive squares in 12 ways, for example, as 118296250982464 + 332014170217536 = 10876408^2 + 18221256^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1555455262 + ... + 1555744738.

Almost surely, 2^{450310421200000} is an apocalyptic number.

450310421200000 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 450310421200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560799462201300).

450310421200000 is an abundant number, since it is smaller than the sum of its proper divisors (671288503202600).

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

450310421200000 is an frugal number, since it uses more digits than its factorization.

450310421200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293405 (or 293373 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

Adding to 450310421200000 its reverse (2124013054), we get a palindrome (450312545213054).

The spelling of 450310421200000 in words is "four hundred fifty trillion, three hundred ten billion, four hundred twenty-one million, two hundred thousand".