11021435103744 has 480 divisors, whose sum is σ = 37301843779200. Its totient is φ = 3101933076480.

The previous prime is 11021435103727. The next prime is 11021435103769. The reversal of 11021435103744 is 44730153412011.

11021435103744 is a `hidden beast` number, since 1 + 10 + 21 + 43 + 510 + 3 + 74 + 4 = 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 = 11021435103699 and 11021435103708.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32840149 + ... + 33174059.

It is an arithmetic number, because the mean of its divisors is an integer number (77712174540).

Almost surely, 2^{11021435103744} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11021435103744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18650921889600).

11021435103744 is an abundant number, since it is smaller than the sum of its proper divisors (26280408675456).

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

11021435103744 is a wasteful number, since it uses less digits than its factorization.

11021435103744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333996 (or 333977 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

Adding to 11021435103744 its reverse (44730153412011), we get a palindrome (55751588515755).

The spelling of 11021435103744 in words is "eleven trillion, twenty-one billion, four hundred thirty-five million, one hundred three thousand, seven hundred forty-four".