1450317828960 has 2592 divisors, whose sum is σ = 6946945780320. Its totient is φ = 272839311360.

The previous prime is 1450317828959. The next prime is 1450317828977. The reversal of 1450317828960 is 698287130541.

1450317828960 is a `hidden beast` number, since 1 + 4 + 503 + 1 + 78 + 2 + 8 + 9 + 60 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1450317828897 and 1450317828906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 8102334151 + ... + 8102334329.

It is an arithmetic number, because the mean of its divisors is an integer number (2680148835).

It is a 1-persistent number, because it is pandigital, but 2⋅1450317828960 = 2900635657920 is not.

Almost surely, 2^{1450317828960} is an apocalyptic number.

1450317828960 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 1450317828960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3473472890160).

1450317828960 is an abundant number, since it is smaller than the sum of its proper divisors (5496627951360).

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

1450317828960 is a wasteful number, since it uses less digits than its factorization.

1450317828960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 1450317828960 in words is "one trillion, four hundred fifty billion, three hundred seventeen million, eight hundred twenty-eight thousand, nine hundred sixty".