11405940 has 96 divisors (see below), whose sum is σ = 39325440. Its totient is φ = 2405376.

The previous prime is 11405899. The next prime is 11405959. The reversal of 11405940 is 4950411.

11405940 is a modest number, since divided by 5940 gives 1140 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 11405940.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4416 + ... + 6504.

It is an arithmetic number, because the mean of its divisors is an integer number (409640).

Almost surely, 2^11405940 is an apocalyptic number.

11405940 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 11405940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19662720).

11405940 is an abundant number, since it is smaller than the sum of its proper divisors (27919500).

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

11405940 is a wasteful number, since it uses less digits than its factorization.

11405940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2121 (or 2119 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 11405940 is about 3377.2681267557. The cubic root of 11405940 is about 225.1007943461.

The spelling of 11405940 in words is "eleven million, four hundred five thousand, nine hundred forty".