11804135040 has 384 divisors, whose sum is σ = 42036321600. Its totient is φ = 3051012096.

The previous prime is 11804135009. The next prime is 11804135069. The reversal of 11804135040 is 4053140811.

It is a happy number.

11804135040 is a `hidden beast` number, since 118 + 0 + 41 + 3 + 504 + 0 = 666.

11804135040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 11804134995 and 11804135013.

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 47 ways as a sum of consecutive naturals, for example, 28171951 + ... + 28172369.

Almost surely, 2^11804135040 is an apocalyptic number.

11804135040 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 11804135040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21018160800).

11804135040 is an abundant number, since it is smaller than the sum of its proper divisors (30232186560).

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

11804135040 is a wasteful number, since it uses less digits than its factorization.

11804135040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 584 (or 569 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

Adding to 11804135040 its reverse (4053140811), we get a palindrome (15857275851).

The spelling of 11804135040 in words is "eleven billion, eight hundred four million, one hundred thirty-five thousand, forty".