10802819040 has 96 divisors (see below), whose sum is σ = 36646507296. Its totient is φ = 2659153920.

The previous prime is 10802819039. The next prime is 10802819057. The reversal of 10802819040 is 4091820801.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 10802818992 and 10802819010.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 859371 + ... + 871850.

It is an arithmetic number, because the mean of its divisors is an integer number (381734451).

Almost surely, 2^10802819040 is an apocalyptic number.

10802819040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10802819040 is an abundant number, since it is smaller than the sum of its proper divisors (25843688256).

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

10802819040 is a wasteful number, since it uses less digits than its factorization.

10802819040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1731252 (or 1731244 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 33.

The spelling of 10802819040 in words is "ten billion, eight hundred two million, eight hundred nineteen thousand, forty".