10830737040 has 80 divisors (see below), whose sum is σ = 33883396800. Its totient is φ = 2861692416.

The previous prime is 10830737033. The next prime is 10830737041. The reversal of 10830737040 is 4073703801.

10830737040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 10830736992 and 10830737010.

It is not an unprimeable number, because it can be changed into a prime (10830737041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 180850 + ... + 233169.

It is an arithmetic number, because the mean of its divisors is an integer number (423542460).

Almost surely, 2^10830737040 is an apocalyptic number.

10830737040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10830737040 is an abundant number, since it is smaller than the sum of its proper divisors (23052659760).

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

10830737040 is a wasteful number, since it uses less digits than its factorization.

10830737040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414144 (or 414138 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 33.

The spelling of 10830737040 in words is "ten billion, eight hundred thirty million, seven hundred thirty-seven thousand, forty".