450707641200 has 1920 divisors, whose sum is σ = 1893093120000. Its totient is φ = 101165137920.

The previous prime is 450707641187. The next prime is 450707641249. The reversal of 450707641200 is 2146707054.

450707641200 is a `hidden beast` number, since 4 + 5 + 0 + 7 + 0 + 7 + 641 + 2 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 383 ways as a sum of consecutive naturals, for example, 5064130756 + ... + 5064130844.

It is an arithmetic number, because the mean of its divisors is an integer number (985986000).

Almost surely, 2^450707641200 is an apocalyptic number.

450707641200 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 450707641200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (946546560000).

450707641200 is an abundant number, since it is smaller than the sum of its proper divisors (1442385478800).

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

450707641200 is a wasteful number, since it uses less digits than its factorization.

450707641200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The spelling of 450707641200 in words is "four hundred fifty billion, seven hundred seven million, six hundred forty-one thousand, two hundred".