11401416 has 72 divisors (see below), whose sum is σ = 33472530. Its totient is φ = 3504384.

The previous prime is 11401391. The next prime is 11401417. The reversal of 11401416 is 61410411.

It can be written as a sum of positive squares in 3 ways, for example, as 2722500 + 8678916 = 1650^2 + 2946^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (11401417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 11700 + ... + 12636.

Almost surely, 2^11401416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11401416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16736265).

11401416 is an abundant number, since it is smaller than the sum of its proper divisors (22071114).

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

11401416 is a wasteful number, since it uses less digits than its factorization.

11401416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 975 (or 955 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 11401416 is about 3376.5982882185. The cubic root of 11401416 is about 225.0710294265.

Adding to 11401416 its reverse (61410411), we get a palindrome (72811827).

It can be divided in two parts, 1140 and 1416, that added together give a triangular number (2556 = T₇₁).

The spelling of 11401416 in words is "eleven million, four hundred one thousand, four hundred sixteen".