11110422400 has 384 divisors, whose sum is σ = 34780988160. Its totient is φ = 3406233600.

The previous prime is 11110422373. The next prime is 11110422409. The reversal of 11110422400 is 422401111.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11110422409) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16508464 + ... + 16509136.

It is an arithmetic number, because the mean of its divisors is an integer number (90575490).

Almost surely, 2^11110422400 is an apocalyptic number.

11110422400 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 11110422400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17390494080).

11110422400 is an abundant number, since it is smaller than the sum of its proper divisors (23670565760).

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

11110422400 is a wasteful number, since it uses less digits than its factorization.

11110422400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 782 (or 765 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 11110422400 its reverse (422401111), we get a palindrome (11532823511).

The spelling of 11110422400 in words is "eleven billion, one hundred ten million, four hundred twenty-two thousand, four hundred".