11110413400 has 96 divisors (see below), whose sum is σ = 27239328000. Its totient is φ = 4202824320.

The previous prime is 11110413389. The next prime is 11110413407. The reversal of 11110413400 is 431401111.

11110413400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11110413407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2456341 + ... + 2460859.

It is an arithmetic number, because the mean of its divisors is an integer number (283743000).

Almost surely, 2^11110413400 is an apocalyptic number.

11110413400 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 11110413400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13619664000).

11110413400 is an abundant number, since it is smaller than the sum of its proper divisors (16128914600).

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

11110413400 is a wasteful number, since it uses less digits than its factorization.

11110413400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5201 (or 5192 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 11110413400 its reverse (431401111), we get a palindrome (11541814511).

The spelling of 11110413400 in words is "eleven billion, one hundred ten million, four hundred thirteen thousand, four hundred".