11404416 has 64 divisors (see below), whose sum is σ = 32093280. Its totient is φ = 3575808.

The previous prime is 11404411. The next prime is 11404423. The reversal of 11404416 is 61440411.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 11404392 and 11404401.

It is not an unprimeable number, because it can be changed into a prime (11404411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5655 + ... + 7401.

Almost surely, 2^11404416 is an apocalyptic number.

11404416 is a gapful number since it is divisible by the number (16) 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 11404416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16046640).

11404416 is an abundant number, since it is smaller than the sum of its proper divisors (20688864).

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

11404416 is a wasteful number, since it uses less digits than its factorization.

11404416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1781 (or 1769 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 11404416 is about 3377.0424930699. The cubic root of 11404416 is about 225.0907683161.

Adding to 11404416 its reverse (61440411), we get a palindrome (72844827).

The spelling of 11404416 in words is "eleven million, four hundred four thousand, four hundred sixteen".