11100041400 has 384 divisors, whose sum is σ = 40214568960. Its totient is φ = 2480640000.

The previous prime is 11100041347. The next prime is 11100041401. The reversal of 11100041400 is 414000111.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11100041401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 58115305 + ... + 58115495.

It is an arithmetic number, because the mean of its divisors is an integer number (104725440).

Almost surely, 2^11100041400 is an apocalyptic number.

11100041400 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 11100041400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20107284480).

11100041400 is an abundant number, since it is smaller than the sum of its proper divisors (29114527560).

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

11100041400 is a wasteful number, since it uses less digits than its factorization.

11100041400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 455 (or 446 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 11100041400 its reverse (414000111), we get a palindrome (11514041511).

The spelling of 11100041400 in words is "eleven billion, one hundred million, forty-one thousand, four hundred".