11011403424 has 96 divisors (see below), whose sum is σ = 33326778240. Its totient is φ = 3118252032.

The previous prime is 11011403401. The next prime is 11011403449. The reversal of 11011403424 is 42430411011.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 11011403424.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3432 + ... + 148440.

It is an arithmetic number, because the mean of its divisors is an integer number (347153940).

Almost surely, 2^11011403424 is an apocalyptic number.

11011403424 is a gapful number since it is divisible by the number (14) 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 11011403424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16663389120).

11011403424 is an abundant number, since it is smaller than the sum of its proper divisors (22315374816).

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

11011403424 is a wasteful number, since it uses less digits than its factorization.

11011403424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145142 (or 145134 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 11011403424 its reverse (42430411011), we get a palindrome (53441814435).

The spelling of 11011403424 in words is "eleven billion, eleven million, four hundred three thousand, four hundred twenty-four".