11141141400 has 144 divisors (see below), whose sum is σ = 37689607800. Its totient is φ = 2949219840.

The previous prime is 11141141399. The next prime is 11141141423. The reversal of 11141141400 is 414114111.

11141141400 is a `hidden beast` number, since 111 + 411 + 4 + 140 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 224011 + ... + 269189.

Almost surely, 2^11141141400 is an apocalyptic number.

11141141400 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 11141141400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18844803900).

11141141400 is an abundant number, since it is smaller than the sum of its proper divisors (26548466400).

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

11141141400 is a wasteful number, since it uses less digits than its factorization.

11141141400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45338 (or 45326 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 11141141400 its reverse (414114111), we get a palindrome (11555255511).

The spelling of 11141141400 in words is "eleven billion, one hundred forty-one million, one hundred forty-one thousand, four hundred".