450541105504000 has 1152 divisors, whose sum is σ = 1336199418537984. Its totient is φ = 148171161600000.

The previous prime is 450541105503961. The next prime is 450541105504003. The reversal of 450541105504000 is 405501145054.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (450541105504003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 258782943130 + ... + 258782944870.

It is an arithmetic number, because the mean of its divisors is an integer number (1159895328592).

Almost surely, 2^{450541105504000} is an apocalyptic number.

450541105504000 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 450541105504000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (668099709268992).

450541105504000 is an abundant number, since it is smaller than the sum of its proper divisors (885658313033984).

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

450541105504000 is a wasteful number, since it uses less digits than its factorization.

450541105504000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2290 (or 2266 counting only the distinct ones).

The product of its (nonzero) digits is 40000, while the sum is 34.

Adding to 450541105504000 its reverse (405501145054), we get a palindrome (450946606649054).

The spelling of 450541105504000 in words is "four hundred fifty trillion, five hundred forty-one billion, one hundred five million, five hundred four thousand".