1450329304320 has 2304 divisors, whose sum is σ = 6230504448000. Its totient is φ = 316020621312.

The previous prime is 1450329304261. The next prime is 1450329304321. The reversal of 1450329304320 is 234039230541.

1450329304320 is a `hidden beast` number, since 1 + 4 + 5 + 0 + 3 + 29 + 304 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1450329304321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 16295834836 + ... + 16295834924.

It is an arithmetic number, because the mean of its divisors is an integer number (2704212000).

Almost surely, 2^{1450329304320} is an apocalyptic number.

1450329304320 is a gapful number since it is divisible by the number (10) 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 1450329304320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3115252224000).

1450329304320 is an abundant number, since it is smaller than the sum of its proper divisors (4780175143680).

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

1450329304320 is a wasteful number, since it uses less digits than its factorization.

1450329304320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 1450329304320 in words is "one trillion, four hundred fifty billion, three hundred twenty-nine million, three hundred four thousand, three hundred twenty".