11106481231440 has 960 divisors, whose sum is σ = 46701850890240. Its totient is φ = 2396296949760.

The previous prime is 11106481231423. The next prime is 11106481231451. The reversal of 11106481231440 is 4413218460111.

11106481231440 is a `hidden beast` number, since 1 + 1 + 1 + 0 + 648 + 1 + 2 + 3 + 1 + 4 + 4 + 0 = 666.

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 = 11106481231395 and 11106481231404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 726523477 + ... + 726538763.

It is an arithmetic number, because the mean of its divisors is an integer number (48647761344).

Almost surely, 2^{11106481231440} is an apocalyptic number.

11106481231440 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 11106481231440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23350925445120).

11106481231440 is an abundant number, since it is smaller than the sum of its proper divisors (35595369658800).

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

11106481231440 is a wasteful number, since it uses less digits than its factorization.

11106481231440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15622 (or 15604 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

Adding to 11106481231440 its reverse (4413218460111), we get a palindrome (15519699691551).

The spelling of 11106481231440 in words is "eleven trillion, one hundred six billion, four hundred eighty-one million, two hundred thirty-one thousand, four hundred forty".