1040282320896 has 1280 divisors, whose sum is σ = 3943298620800. Its totient is φ = 266015342592.

The previous prime is 1040282320871. The next prime is 1040282320897. The reversal of 1040282320896 is 6980232820401.

1040282320896 is a `hidden beast` number, since 1 + 0 + 40 + 282 + 320 + 8 + 9 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (1040282320897) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 14250442716 + ... + 14250442788.

Almost surely, 2^{1040282320896} is an apocalyptic number.

1040282320896 is a gapful number since it is divisible by the number (16) 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 1040282320896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1971649310400).

1040282320896 is an abundant number, since it is smaller than the sum of its proper divisors (2903016299904).

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

1040282320896 is an frugal number, since it uses more digits than its factorization.

1040282320896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 1040282320896 in words is "one trillion, forty billion, two hundred eighty-two million, three hundred twenty thousand, eight hundred ninety-six".