450022641630400 has 168 divisors, whose sum is σ = 1111568054528736. Its totient is φ = 179321522380800.

The previous prime is 450022641630389. The next prime is 450022641630427. The reversal of 450022641630400 is 4036146220054.

It is a self number, because there is not a number n which added to its sum of digits gives 450022641630400.

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, 2158722972 + ... + 2158931428.

It is an arithmetic number, because the mean of its divisors is an integer number (6616476515052).

Almost surely, 2^{450022641630400} is an apocalyptic number.

450022641630400 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 450022641630400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (555784027264368).

450022641630400 is an abundant number, since it is smaller than the sum of its proper divisors (661545412898336).

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

450022641630400 is a wasteful number, since it uses less digits than its factorization.

450022641630400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213627 (or 213612 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 37.

Adding to 450022641630400 its reverse (4036146220054), we get a palindrome (454058787850454).

The spelling of 450022641630400 in words is "four hundred fifty trillion, twenty-two billion, six hundred forty-one million, six hundred thirty thousand, four hundred".