11804408640 has 280 divisors, whose sum is σ = 42171350760. Its totient is φ = 3134287872.

The previous prime is 11804408639. The next prime is 11804408641. The reversal of 11804408640 is 4680440811.

11804408640 is a `hidden beast` number, since 1 + 1 + 8 + 0 + 4 + 4 + 0 + 8 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (11804408639) and next prime (11804408641).

It can be written as a sum of positive squares in 4 ways, for example, as 20736 + 11804387904 = 144^2 + 108648^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 11804408595 and 11804408604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11804408641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6971634 + ... + 6973326.

It is an arithmetic number, because the mean of its divisors is an integer number (150611967).

Almost surely, 2^11804408640 is an apocalyptic number.

11804408640 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 11804408640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21085675380).

11804408640 is an abundant number, since it is smaller than the sum of its proper divisors (30366942120).

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

11804408640 is a wasteful number, since it uses less digits than its factorization.

11804408640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1991 (or 1972 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The spelling of 11804408640 in words is "eleven billion, eight hundred four million, four hundred eight thousand, six hundred forty".