11940103728 has 400 divisors, whose sum is σ = 42390501120. Its totient is φ = 3168502272.

The previous prime is 11940103691. The next prime is 11940103783. The reversal of 11940103728 is 82730104911.

It is a happy number.

11940103728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 11940103692 and 11940103701.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 9134851 + ... + 9136157.

Almost surely, 2^11940103728 is an apocalyptic number.

11940103728 is a gapful number since it is divisible by the number (18) 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 11940103728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21195250560).

11940103728 is an abundant number, since it is smaller than the sum of its proper divisors (30450397392).

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

11940103728 is a wasteful number, since it uses less digits than its factorization.

11940103728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1406 (or 1391 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 11940103728 in words is "eleven billion, nine hundred forty million, one hundred three thousand, seven hundred twenty-eight".