11414400000 has 528 divisors, whose sum is σ = 40297733280. Its totient is φ = 2867200000.

The previous prime is 11414399977. The next prime is 11414400047. The reversal of 11414400000 is 441411.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 278399980 + ... + 278400020.

Almost surely, 2^11414400000 is an apocalyptic number.

11414400000 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 11414400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20148866640).

11414400000 is an abundant number, since it is smaller than the sum of its proper divisors (28883333280).

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

11414400000 is an frugal number, since it uses more digits than its factorization.

11414400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 11414400000 its reverse (441411), we get a palindrome (11414841411).

The spelling of 11414400000 in words is "eleven billion, four hundred fourteen million, four hundred thousand".