11401000 has 64 divisors (see below), whose sum is σ = 28763280. Its totient is φ = 4204800.

The previous prime is 11400997. The next prime is 11401001. The reversal of 11401000 is 10411.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 338724 + 11062276 = 582^2 + 3326^2 .

It is not an unprimeable number, because it can be changed into a prime (11401001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12562 + ... + 13438.

Almost surely, 2^11401000 is an apocalyptic number.

11401000 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 11401000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14381640).

11401000 is an abundant number, since it is smaller than the sum of its proper divisors (17362280).

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

11401000 is a wasteful number, since it uses less digits than its factorization.

11401000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 911 (or 897 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

The square root of 11401000 is about 3376.5366871989. The cubic root of 11401000 is about 225.0682920271.

Adding to 11401000 its reverse (10411), we get a palindrome (11411411).

The spelling of 11401000 in words is "eleven million, four hundred one thousand".