450841144320 has 2112 divisors, whose sum is σ = 2043095961600. Its totient is φ = 93640458240.

The previous prime is 450841144319. The next prime is 450841144381. The reversal of 450841144320 is 23441148054.

450841144320 is a `hidden beast` number, since 4 + 508 + 4 + 1 + 144 + 3 + 2 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

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 191 ways as a sum of consecutive naturals, for example, 3989744584 + ... + 3989744696.

Almost surely, 2^450841144320 is an apocalyptic number.

450841144320 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 450841144320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1021547980800).

450841144320 is an abundant number, since it is smaller than the sum of its proper divisors (1592254817280).

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

450841144320 is a wasteful number, since it uses less digits than its factorization.

450841144320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The spelling of 450841144320 in words is "four hundred fifty billion, eight hundred forty-one million, one hundred forty-four thousand, three hundred twenty".