450425733120 has 1440 divisors, whose sum is σ = 1885831549056. Its totient is φ = 102770933760.

The previous prime is 450425733073. The next prime is 450425733187. The reversal of 450425733120 is 21337524054.

450425733120 is a `hidden beast` number, since 4 + 50 + 4 + 2 + 573 + 31 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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 95 ways as a sum of consecutive naturals, for example, 26495631352 + ... + 26495631368.

Almost surely, 2^450425733120 is an apocalyptic number.

450425733120 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 450425733120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (942915774528).

450425733120 is an abundant number, since it is smaller than the sum of its proper divisors (1435405815936).

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

450425733120 is an frugal number, since it uses more digits than its factorization.

450425733120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The spelling of 450425733120 in words is "four hundred fifty billion, four hundred twenty-five million, seven hundred thirty-three thousand, one hundred twenty".