11014434136640 has 224 divisors, whose sum is σ = 29394963255168. Its totient is φ = 3896281088000.

The previous prime is 11014434136639. The next prime is 11014434136649. The reversal of 11014434136640 is 4663143441011.

It is a junction number, because it is equal to n+sod(n) for n = 11014434136594 and 11014434136603.

It is not an unprimeable number, because it can be changed into a prime (11014434136649) 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 31 ways as a sum of consecutive naturals, for example, 49969070 + ... + 50189010.

It is an arithmetic number, because the mean of its divisors is an integer number (131227514532).

Almost surely, 2^{11014434136640} is an apocalyptic number.

11014434136640 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 11014434136640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14697481627584).

11014434136640 is an abundant number, since it is smaller than the sum of its proper divisors (18380529118528).

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

11014434136640 is a wasteful number, since it uses less digits than its factorization.

11014434136640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220357 (or 220347 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 38.

Adding to 11014434136640 its reverse (4663143441011), we get a palindrome (15677577577651).

The spelling of 11014434136640 in words is "eleven trillion, fourteen billion, four hundred thirty-four million, one hundred thirty-six thousand, six hundred forty".