11404214040 has 256 divisors, whose sum is σ = 38354342400. Its totient is φ = 2698665984.

The previous prime is 11404213999. The next prime is 11404214071. The reversal of 11404214040 is 4041240411.

It is a junction number, because it is equal to n+sod(n) for n = 11404213998 and 11404214016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2541639 + ... + 2546121.

It is an arithmetic number, because the mean of its divisors is an integer number (149821650).

Almost surely, 2^11404214040 is an apocalyptic number.

11404214040 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 11404214040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19177171200).

11404214040 is an abundant number, since it is smaller than the sum of its proper divisors (26950128360).

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

11404214040 is a wasteful number, since it uses less digits than its factorization.

11404214040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4586 (or 4582 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 11404214040 its reverse (4041240411), we get a palindrome (15445454451).

The spelling of 11404214040 in words is "eleven billion, four hundred four million, two hundred fourteen thousand, forty".