11400400000 has 192 divisors, whose sum is σ = 30980517120. Its totient is φ = 4144000000.

The previous prime is 11400399953. The next prime is 11400400013. The reversal of 11400400000 is 400411.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a self number, because there is not a number n which added to its sum of digits gives 11400400000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4398705 + ... + 4401295.

It is an arithmetic number, because the mean of its divisors is an integer number (161356860).

Almost surely, 2^11400400000 is an apocalyptic number.

11400400000 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 11400400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15490258560).

11400400000 is an abundant number, since it is smaller than the sum of its proper divisors (19580117120).

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

11400400000 is an frugal number, since it uses more digits than its factorization.

11400400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2641 (or 2609 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 11400400000 its reverse (400411), we get a palindrome (11400800411).

The spelling of 11400400000 in words is "eleven billion, four hundred million, four hundred thousand".