450667871928000 has 1344 divisors, whose sum is σ = 1741050208235520. Its totient is φ = 115270428672000.

The previous prime is 450667871927971. The next prime is 450667871928041. The reversal of 450667871928000 is 829178766054.

It is a super-2 number, since 2×450667871928000² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6809798911 + ... + 6809865089.

It is an arithmetic number, because the mean of its divisors is an integer number (1295424262080).

Almost surely, 2^{450667871928000} is an apocalyptic number.

450667871928000 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 450667871928000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (870525104117760).

450667871928000 is an abundant number, since it is smaller than the sum of its proper divisors (1290382336307520).

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

450667871928000 is a wasteful number, since it uses less digits than its factorization.

450667871928000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66365 (or 66333 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 63.

The spelling of 450667871928000 in words is "four hundred fifty trillion, six hundred sixty-seven billion, eight hundred seventy-one million, nine hundred twenty-eight thousand".