11404048320 has 1008 divisors, whose sum is σ = 49137405408. Its totient is φ = 2508226560.

The previous prime is 11404048303. The next prime is 11404048333. The reversal of 11404048320 is 2384040411.

11404048320 is a `hidden beast` number, since 1 + 140 + 40 + 483 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 156219804 + ... + 156219876.

It is an arithmetic number, because the mean of its divisors is an integer number (48747426).

Almost surely, 2^11404048320 is an apocalyptic number.

11404048320 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 11404048320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24568702704).

11404048320 is an abundant number, since it is smaller than the sum of its proper divisors (37733357088).

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

11404048320 is an equidigital number, since it uses as much as digits as its factorization.

11404048320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 11404048320 its reverse (2384040411), we get a palindrome (13788088731).

The spelling of 11404048320 in words is "eleven billion, four hundred four million, forty-eight thousand, three hundred twenty".