10940728320 has 880 divisors, whose sum is σ = 43370984448. Its totient is φ = 2627665920.

The previous prime is 10940728313. The next prime is 10940728321. The reversal of 10940728320 is 2382704901.

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

It is not an unprimeable number, because it can be changed into a prime (10940728321) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 295695342 + ... + 295695378.

Almost surely, 2^10940728320 is an apocalyptic number.

10940728320 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 10940728320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21685492224).

10940728320 is an abundant number, since it is smaller than the sum of its proper divisors (32430256128).

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

10940728320 is a wasteful number, since it uses less digits than its factorization.

10940728320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

It can be divided in two parts, 10940728 and 320, that added together give a cube (10941048 = 222³).

The spelling of 10940728320 in words is "ten billion, nine hundred forty million, seven hundred twenty-eight thousand, three hundred twenty".