10882045440 has 1120 divisors, whose sum is σ = 48303604800. Its totient is φ = 2341011456.

The previous prime is 10882045417. The next prime is 10882045441. The reversal of 10882045440 is 4454028801.

10882045440 is a `hidden beast` number, since 1 + 0 + 8 + 8 + 204 + 5 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

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

It is a junction number, because it is equal to n+sod(n) for n = 10882045395 and 10882045404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10882045441) 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 111 ways as a sum of consecutive naturals, for example, 640120312 + ... + 640120328.

Almost surely, 2^10882045440 is an apocalyptic number.

10882045440 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 10882045440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24151802400).

10882045440 is an abundant number, since it is smaller than the sum of its proper divisors (37421559360).

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

10882045440 is an frugal number, since it uses more digits than its factorization.

10882045440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 36.

The spelling of 10882045440 in words is "ten billion, eight hundred eighty-two million, forty-five thousand, four hundred forty".