11001400 has 48 divisors (see below), whose sum is σ = 25991640. Its totient is φ = 4329600.

The previous prime is 11001391. The next prime is 11001413. The reversal of 11001400 is 410011.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12990 + ... + 13810.

Almost surely, 2^11001400 is an apocalyptic number.

11001400 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 11001400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12995820).

11001400 is an abundant number, since it is smaller than the sum of its proper divisors (14990240).

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

11001400 is a wasteful number, since it uses less digits than its factorization.

11001400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 904 (or 895 counting only the distinct ones).

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

The square root of 11001400 is about 3316.8358415816. The cubic root of 11001400 is about 222.4074437237.

Adding to 11001400 its reverse (410011), we get a palindrome (11411411).

It can be divided in two parts, 1100 and 1400, that added together give a square (2500 = 50²).

The spelling of 11001400 in words is "eleven million, one thousand, four hundred".