11454040000 has 140 divisors (see below), whose sum is σ = 30588477304. Its totient is φ = 4228992000.

The previous prime is 11454039983. The next prime is 11454040019. The reversal of 11454040000 is 4045411.

11454040000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 11454040000.

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 508987 + ... + 531013.

Almost surely, 2^11454040000 is an apocalyptic number.

11454040000 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 11454040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15294238652).

11454040000 is an abundant number, since it is smaller than the sum of its proper divisors (19134437304).

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

11454040000 is an equidigital number, since it uses as much as digits as its factorization.

11454040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22072 (or 22047 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

Adding to 11454040000 its reverse (4045411), we get a palindrome (11458085411).

The spelling of 11454040000 in words is "eleven billion, four hundred fifty-four million, forty thousand".