11401320 has 128 divisors (see below), whose sum is σ = 40032000. Its totient is φ = 2596608.

The previous prime is 11401309. The next prime is 11401333. The reversal of 11401320 is 2310411.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 11401296 and 11401305.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 41022 + ... + 41298.

It is an arithmetic number, because the mean of its divisors is an integer number (312750).

Almost surely, 2^11401320 is an apocalyptic number.

11401320 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 11401320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20016000).

11401320 is an abundant number, since it is smaller than the sum of its proper divisors (28630680).

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

11401320 is a wasteful number, since it uses less digits than its factorization.

11401320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 11401320 is about 3376.5840726983. The cubic root of 11401320 is about 225.0703977248.

Adding to 11401320 its reverse (2310411), we get a palindrome (13711731).

Subtracting from 11401320 its reverse (2310411), we obtain a palindrome (9090909).

The spelling of 11401320 in words is "eleven million, four hundred one thousand, three hundred twenty".