11431044405 has 192 divisors, whose sum is σ = 23449271040. Its totient is φ = 5303854080.

The previous prime is 11431044379. The next prime is 11431044407. The reversal of 11431044405 is 50444013411.

11431044405 is a `hidden beast` number, since 114 + 3 + 104 + 440 + 5 = 666.

It is not a de Polignac number, because 11431044405 - 2¹³ = 11431036213 is a prime.

It is a super-3 number, since 3×11431044405³ (a number of 31 digits) contains 333 as substring.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11431044407) 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 191 ways as a sum of consecutive naturals, for example, 101159629 + ... + 101159741.

It is an arithmetic number, because the mean of its divisors is an integer number (122131620).

Almost surely, 2^11431044405 is an apocalyptic number.

11431044405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11431044405 is an abundant number, since it is smaller than the sum of its proper divisors (12018226635).

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

11431044405 is an equidigital number, since it uses as much as digits as its factorization.

11431044405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 11431044405 its reverse (50444013411), we get a palindrome (61875057816).

The spelling of 11431044405 in words is "eleven billion, four hundred thirty-one million, forty-four thousand, four hundred five".